Specification of topological spaces by algebraic systems of continuous functions

Name: Specification of topological spaces by algebraic systems of continuous functions
Uploaded: 1991-01-01
Е. М. Вечтомов
{'id': 'https://openalex.org/W2008833913', 'doi': 'https://doi.org/10.1007/bf01098255', 'title': 'Specification of topological spaces by algebraic systems of continuous functions', 'display_name': 'Specification of topological spaces by algebraic systems of continuous functions', 'publication_year': 1991, 'publication_date': '1991-01-01', 'ids': {'openalex': 'https://openalex.org/W2008833913', 'doi': 'https://doi.org/10.1007/bf01098255', 'mag': '2008833913'}, 'language': 'en', 'primary_location': {'is_oa': True, 'landing_page_url': 'https://doi.org/10.1007/bf01098255', 'pdf_url': 'https://link.springer.com/content/pdf/10.1007/BF01098255.pdf', 'source': {'id': 'https://openalex.org/S4210172062', 'display_name': 'Journal of Soviet Mathematics', 'issn_l': '0090-4104', 'issn': ['0090-4104', '2376-5798'], 'is_oa': False, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/P4310319965', 'host_organization_name': 'Springer Nature', 'host_organization_lineage': ['https://openalex.org/P4310319965'], 'host_organization_lineage_names': ['Springer Nature'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}, 'type': 'article', 'type_crossref': 'journal-article', 'indexed_in': ['crossref'], 'open_access': {'is_oa': True, 'oa_status': 'bronze', 'oa_url': 'https://link.springer.com/content/pdf/10.1007/BF01098255.pdf', 'any_repository_has_fulltext': False}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5017642971', 'display_name': 'Е. М. Вечтомов', 'orcid': 'https://orcid.org/0000-0002-3490-2956'}, 'institutions': [], 'countries': [], 'is_corresponding': True, 'raw_author_name': 'E. M. Vechtomov', 'raw_affiliation_strings': [], 'affiliations': []}], 'institution_assertions': [], 'countries_distinct_count': 0, 'institutions_distinct_count': 0, 'corresponding_author_ids': ['https://openalex.org/A5017642971'], 'corresponding_institution_ids': [], 'apc_list': None, 'apc_paid': None, 'fwci': 0.0, 'has_fulltext': True, 'fulltext_origin': 'pdf', 'cited_by_count': 5, 'citation_normalized_percentile': {'value': 0.567584, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 71, 'max': 73}, 'biblio': {'volume': '53', 'issue': '2', 'first_page': '123', 'last_page': '147'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T11703', 'display_name': 'Study of properties and structures of commutative rings', 'score': 0.9973, 'subfield': {'id': 'https://openalex.org/subfields/2602', 'display_name': 'Algebra and Number Theory'}, 'field': {'id': 'https://openalex.org/fields/26', 'display_name': 'Mathematics'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, 'topics': [{'id': 'https://openalex.org/T11703', 'display_name': 'Study of properties and structures of commutative rings', 'score': 0.9973, 'subfield': {'id': 'https://openalex.org/subfields/2602', 'display_name': 'Algebra and Number Theory'}, 'field': {'id': 'https://openalex.org/fields/26', 'display_name': 'Mathematics'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, {'id': 'https://openalex.org/T11151', 'display_name': 'Model Theory and Topological Dynamics', 'score': 0.9938, 'subfield': {'id': 'https://openalex.org/subfields/2608', 'display_name': 'Geometry and Topology'}, 'field': {'id': 'https://openalex.org/fields/26', 'display_name': 'Mathematics'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, {'id': 'https://openalex.org/T11567', 'display_name': 'Automata Theory and Formal Languages', 'score': 0.9919, 'subfield': {'id': 'https://openalex.org/subfields/1703', 'display_name': 'Computational Theory and Mathematics'}, 'field': {'id': 'https://openalex.org/fields/17', 'display_name': 'Computer Science'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}], 'keywords': [{'id': 'https://openalex.org/keywords/compact-open-topology', 'display_name': 'Compact-open topology', 'score': 0.5782133}, {'id': 'https://openalex.org/keywords/topological-dynamics', 'display_name': 'Topological Dynamics', 'score': 0.531033}, {'id': 'https://openalex.org/keywords/algebraic-specification', 'display_name': 'Algebraic specification', 'score': 0.48059127}], 'concepts': [{'id': 'https://openalex.org/C81332173', 'wikidata': 'https://www.wikidata.org/wiki/Q179899', 'display_name': 'Topological space', 'level': 2, 'score': 0.6916662}, {'id': 'https://openalex.org/C9376300', 'wikidata': 'https://www.wikidata.org/wiki/Q168817', 'display_name': 'Algebraic number', 'level': 2, 'score': 0.5992763}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.58407915}, {'id': 'https://openalex.org/C6419321', 'wikidata': 'https://www.wikidata.org/wiki/Q1669863', 'display_name': 'Compact-open topology', 'level': 5, 'score': 0.5782133}, {'id': 'https://openalex.org/C2777691520', 'wikidata': 'https://www.wikidata.org/wiki/Q4724019', 'display_name': 'Algebraic specification', 'level': 3, 'score': 0.48059127}, {'id': 'https://openalex.org/C136119220', 'wikidata': 'https://www.wikidata.org/wiki/Q1000660', 'display_name': 'Algebra over a field', 'level': 2, 'score': 0.4468009}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.44266638}, {'id': 'https://openalex.org/C184720557', 'wikidata': 'https://www.wikidata.org/wiki/Q7825049', 'display_name': 'Topology (electrical circuits)', 'level': 2, 'score': 0.44152063}, {'id': 'https://openalex.org/C178099376', 'wikidata': 'https://www.wikidata.org/wiki/Q7825044', 'display_name': 'Topological tensor product', 'level': 4, 'score': 0.404018}, {'id': 'https://openalex.org/C55112680', 'wikidata': 'https://www.wikidata.org/wiki/Q190549', 'display_name': 'Functional analysis', 'level': 3, 'score': 0.22784579}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.14603916}, {'id': 'https://openalex.org/C55493867', 'wikidata': 'https://www.wikidata.org/wiki/Q7094', 'display_name': 'Biochemistry', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C185592680', 'wikidata': 'https://www.wikidata.org/wiki/Q2329', 'display_name': 'Chemistry', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C114614502', 'wikidata': 'https://www.wikidata.org/wiki/Q76592', 'display_name': 'Combinatorics', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C104317684', 'wikidata': 'https://www.wikidata.org/wiki/Q7187', 'display_name': 'Gene', 'level': 2, 'score': 0.0}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': True, 'landing_page_url': 'https://doi.org/10.1007/bf01098255', 'pdf_url': 'https://link.springer.com/content/pdf/10.1007/BF01098255.pdf', 'source': {'id': 'https://openalex.org/S4210172062', 'display_name': 'Journal of Soviet Mathematics', 'issn_l': '0090-4104', 'issn': ['0090-4104', '2376-5798'], 'is_oa': False, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/P4310319965', 'host_organization_name': 'Springer Nature', 'host_organization_lineage': ['https://openalex.org/P4310319965'], 'host_organization_lineage_names': ['Springer Nature'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}], 'best_oa_location': {'is_oa': True, 'landing_page_url': 'https://doi.org/10.1007/bf01098255', 'pdf_url': 'https://link.springer.com/content/pdf/10.1007/BF01098255.pdf', 'source': {'id': 'https://openalex.org/S4210172062', 'display_name': 'Journal of Soviet Mathematics', 'issn_l': '0090-4104', 'issn': ['0090-4104', '2376-5798'], 'is_oa': False, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/P4310319965', 'host_organization_name': 'Springer Nature', 'host_organization_lineage': ['https://openalex.org/P4310319965'], 'host_organization_lineage_names': ['Springer Nature'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 151, 'referenced_works': ['https://openalex.org/W134922578', 'https://openalex.org/W1496666899', 'https://openalex.org/W1527149215', 'https://openalex.org/W1545515668', 'https://openalex.org/W1547538082', 'https://openalex.org/W1547836095', 'https://openalex.org/W1564114515', 'https://openalex.org/W1581053030', 'https://openalex.org/W1582269801', 'https://openalex.org/W1964914154', 'https://openalex.org/W1965130067', 'https://openalex.org/W1966641840', 'https://openalex.org/W1967529515', 'https://openalex.org/W1968443233', 'https://openalex.org/W1970799675', 'https://openalex.org/W1971373635', 'https://openalex.org/W1973634718', 'https://openalex.org/W1974580253', 'https://openalex.org/W1977032666', 'https://openalex.org/W1979075523', 'https://openalex.org/W1979730141', 'https://openalex.org/W1980518847', 'https://openalex.org/W1982824412', 'https://openalex.org/W1983437996', 'https://openalex.org/W1984620854', 'https://openalex.org/W1984642215', 'https://openalex.org/W1987311030', 'https://openalex.org/W1987684028', 'https://openalex.org/W1996171905', 'https://openalex.org/W1996721598', 'https://openalex.org/W1999428136', 'https://openalex.org/W2000256713', 'https://openalex.org/W2000600180', 'https://openalex.org/W2001800677', 'https://openalex.org/W2004746141', 'https://openalex.org/W2009056449', 'https://openalex.org/W2010314137', 'https://openalex.org/W2012395494', 'https://openalex.org/W2014419619', 'https://openalex.org/W2017096836', 'https://openalex.org/W2019266505', 'https://openalex.org/W2024184938', 'https://openalex.org/W2026114627', 'https://openalex.org/W2026671561', 'https://openalex.org/W2026932362', 'https://openalex.org/W2028679803', 'https://openalex.org/W2028984947', 'https://openalex.org/W2031127959', 'https://openalex.org/W2031249972', 'https://openalex.org/W2031416313', 'https://openalex.org/W2033121238', 'https://openalex.org/W2034632297', 'https://openalex.org/W2037211747', 'https://openalex.org/W2042158322', 'https://openalex.org/W2046091683', 'https://openalex.org/W2048191807', 'https://openalex.org/W2048610309', 'https://openalex.org/W2049465166', 'https://openalex.org/W2051765307', 'https://openalex.org/W2056958948', 'https://openalex.org/W2059021054', 'https://openalex.org/W2059365214', 'https://openalex.org/W2060057216', 'https://openalex.org/W2060478164', 'https://openalex.org/W2060957871', 'https://openalex.org/W2061686800', 'https://openalex.org/W2061839802', 'https://openalex.org/W2063372566', 'https://openalex.org/W2065193144', 'https://openalex.org/W2065412597', 'https://openalex.org/W2068910928', 'https://openalex.org/W2069140560', 'https://openalex.org/W2071255902', 'https://openalex.org/W2071641622', 'https://openalex.org/W2073473995', 'https://openalex.org/W2075081091', 'https://openalex.org/W2075805817', 'https://openalex.org/W2077032098', 'https://openalex.org/W2079094676', 'https://openalex.org/W2080638865', 'https://openalex.org/W2082367806', 'https://openalex.org/W2083869066', 'https://openalex.org/W2085412082', 'https://openalex.org/W2086209751', 'https://openalex.org/W2086294359', 'https://openalex.org/W2087491849', 'https://openalex.org/W2088588326', 'https://openalex.org/W2088893180', 'https://openalex.org/W2093463893', 'https://openalex.org/W2100450360', 'https://openalex.org/W2110141548', 'https://openalex.org/W2110680414', 'https://openalex.org/W2111095034', 'https://openalex.org/W2132953266', 'https://openalex.org/W2138982142', 'https://openalex.org/W2140351059', 'https://openalex.org/W2143649392', 'https://openalex.org/W2151081911', 'https://openalex.org/W2163252362', 'https://openalex.org/W2164722185', 'https://openalex.org/W2166870848', 'https://openalex.org/W2312935277', 'https://openalex.org/W2313125646', 'https://openalex.org/W2313781215', 'https://openalex.org/W2315217240', 'https://openalex.org/W2316652492', 'https://openalex.org/W2318059937', 'https://openalex.org/W2318703793', 'https://openalex.org/W2324219416', 'https://openalex.org/W2326155258', 'https://openalex.org/W2326916594', 'https://openalex.org/W2329241731', 'https://openalex.org/W2329783840', 'https://openalex.org/W2333296587', 'https://openalex.org/W2333675121', 'https://openalex.org/W2333712306', 'https://openalex.org/W2334278235', 'https://openalex.org/W2335542303', 'https://openalex.org/W2529567979', 'https://openalex.org/W2531452372', 'https://openalex.org/W2584430379', 'https://openalex.org/W262863566', 'https://openalex.org/W2735224687', 'https://openalex.org/W2911646291', 'https://openalex.org/W2954064077', 'https://openalex.org/W3020987400', 'https://openalex.org/W3038696418', 'https://openalex.org/W3048250642', 'https://openalex.org/W418641445', 'https://openalex.org/W4233444413', 'https://openalex.org/W4236867418', 'https://openalex.org/W4243711577', 'https://openalex.org/W4254272391', 'https://openalex.org/W4254698163', 'https://openalex.org/W58649214', 'https://openalex.org/W596091896', 'https://openalex.org/W604140817', 'https://openalex.org/W616404084', 'https://openalex.org/W618040871', 'https://openalex.org/W639809503', 'https://openalex.org/W776147223', 'https://openalex.org/W781937223', 'https://openalex.org/W794121362', 'https://openalex.org/W803925375', 'https://openalex.org/W815673050', 'https://openalex.org/W863272685', 'https://openalex.org/W872280254', 'https://openalex.org/W932742901', 'https://openalex.org/W948678887', 'https://openalex.org/W979234355', 'https://openalex.org/W98281948'], 'related_works': ['https://openalex.org/W4388633357', 'https://openalex.org/W361560415', 'https://openalex.org/W3036262917', 'https://openalex.org/W260065096', 'https://openalex.org/W2062452291', 'https://openalex.org/W2056826558', 'https://openalex.org/W1987292769', 'https://openalex.org/W1986824257', 'https://openalex.org/W1840139781', 'https://openalex.org/W148615197'], 'abstract_inverted_index': {'This': [0], 'survey': [1], 'presents': [2], 'results': [3], 'on': [4, 19, 30, 46], 'specification': [5, 20, 31], 'of': [6, 13, 21, 27, 32, 36, 48, 52, 57], 'topological': [7], 'spaces': [8, 23, 33, 49], 'by': [9, 24, 34, 50, 66], 'various': [10], 'algebraic': [11], 'structures': [12, 26], 'continuous': [14, 28, 37, 58], 'functions.': [15], 'Results': [16], 'are': [17, 64], 'presented': [18], 'E-compact': [22], 'general': [25], 'functions,': [29], 'rings': [35], 'functions': [38], 'and': [39, 45, 55], 'the': [40, 62], 'systems': [41], 'associated': [42], 'with': [43], 'them,': [44], 'specifications': [47], 'lattices': [51], 'open': [53], 'sets': [54], 'semigroups': [56], 'transformations.': [59], 'Methods': [60], 'from': [61], 'theory': [63], 'illustrated': [65], 'examples.': [67]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2008833913', 'counts_by_year': [{'year': 2023, 'cited_by_count': 1}, {'year': 2022, 'cited_by_count': 1}, {'year': 2017, 'cited_by_count': 1}, {'year': 2016, 'cited_by_count': 2}], 'updated_date': '2024-09-13T23:55:58.172715', 'created_date': '2016-06-24'}
Publication Information

Video

Basic Information

Access and Citation

AI Researcher Chatbot

Primary Location

Authors

Topics

Keywords

Related Works
