{"id":"https://openalex.org/W397351204","doi":"https://doi.org/10.48550/arxiv.1103.1738","title":"A Theorem of Van Kampen Type for Pseudo Peano Continuum Spaces","display_name":"A Theorem of Van Kampen Type for Pseudo Peano Continuum Spaces","publication_year":2011,"publication_date":"2011-03-09","ids":{"openalex":"https://openalex.org/W397351204","doi":"https://doi.org/10.48550/arxiv.1103.1738","mag":"397351204"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:1103.1738","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1103.1738","pdf_url":"https://arxiv.org/pdf/1103.1738","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1103.1738","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5088134387","display_name":"Bibi Hanieh Mirebrahimi Paziquee","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I86958956","display_name":"Ferdowsi University of Mashhad","ror":"https://ror.org/00g6ka752","country_code":"IR","type":"education","lineage":["https://openalex.org/I86958956"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Mirebrahimi, Hanieh","raw_affiliation_strings":["Center of Excellence in Analysis on Algebraic Structures , Ferdowsi University of Mashhad , P. O. Box 1159 -91775 , Mashhad , Iran","Department of Pure Mathematics ,","Ferdowsi University of Mashhad"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center of Excellence in Analysis on Algebraic Structures , Ferdowsi University of Mashhad , P. O. Box 1159 -91775 , Mashhad , Iran","institution_ids":["https://openalex.org/I86958956"]},{"raw_affiliation_string":"Department of Pure Mathematics ,","institution_ids":[]},{"raw_affiliation_string":"Ferdowsi University of Mashhad","institution_ids":["https://openalex.org/I86958956"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5057520950","display_name":"Behrooz Mashayekhy Fard","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I86958956","display_name":"Ferdowsi University of Mashhad","ror":"https://ror.org/00g6ka752","country_code":"IR","type":"education","lineage":["https://openalex.org/I86958956"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Mashayekhy, Behrooz","raw_affiliation_strings":["Department of Pure Mathematics ,","Ferdowsi University of Mashhad"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Pure Mathematics ,","institution_ids":[]},{"raw_affiliation_string":"Ferdowsi University of Mashhad","institution_ids":["https://openalex.org/I86958956"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I86958956"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":"8","issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.5967000126838684,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.5967000126838684,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T10304","display_name":"Geometric and Algebraic Topology","score":0.3246999979019165,"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/T11151","display_name":"Advanced Topology and Set Theory","score":0.041099999099969864,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/van-kampen-theorem","display_name":"van Kampen theorem","score":0.9210000038146973},{"id":"https://openalex.org/keywords/right-adjoints","display_name":"right adjoints","score":0.8169999718666077},{"id":"https://openalex.org/keywords/direct-limits","display_name":"direct limits","score":0.9399999976158142},{"id":"https://openalex.org/keywords/quotient-spaces","display_name":"quotient spaces","score":0.5879999995231628}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7953128814697266},{"id":"https://openalex.org/C156772000","wikidata":"https://www.wikidata.org/wiki/Q864475","display_name":"Functor","level":2,"score":0.7579702138900757},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5509719252586365},{"id":"https://openalex.org/C97489613","wikidata":"https://www.wikidata.org/wiki/Q842755","display_name":"Peano axioms","level":2,"score":0.5131312012672424},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.4728838801383972},{"id":"https://openalex.org/C5274069","wikidata":"https://www.wikidata.org/wiki/Q2285707","display_name":"Categorical variable","level":2,"score":0.4189353287220001},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.35426706075668335},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.35294848680496216},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"pmh:oai:arXiv.org:1103.1738","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1103.1738","pdf_url":"https://arxiv.org/pdf/1103.1738","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"mag:1537984774","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1103.1738.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.769.2161","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.769.2161","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1103.1738.pdf","raw_type":"text"},{"id":"doi:10.48550/arxiv.1103.1738","doi":"https://doi.org/10.48550/arxiv.1103.1738","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1103.1738","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"},{"id":"mag:397351204","doi":null,"is_oa":false,"landing_page_url":"https://profdoc.um.ac.ir/paper-abstract-1020231.html","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1103.1738","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1103.1738","pdf_url":"https://arxiv.org/pdf/1103.1738","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321722","display_name":"Ferdowsi University of Mashhad","ror":"https://ror.org/00g6ka752"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W397351204.pdf","grobid_xml":"https://content.openalex.org/works/W397351204.grobid-xml"},"referenced_works_count":6,"referenced_works":["https://openalex.org/W1542689491","https://openalex.org/W1967875541","https://openalex.org/W1979081712","https://openalex.org/W1984741393","https://openalex.org/W2015282900","https://openalex.org/W3107709063"],"related_works":["https://openalex.org/W1537984774","https://openalex.org/W652726237","https://openalex.org/W7098916142","https://openalex.org/W2094803290","https://openalex.org/W2057125755","https://openalex.org/W2085407591","https://openalex.org/W2072818806","https://openalex.org/W6960240522","https://openalex.org/W1981439753","https://openalex.org/W1983832213"],"abstract_inverted_index":{"G.":[0],"Conner":[1,36],"and":[2,6,37,57,62,78],"K.":[3],"Eda":[4],"(Topology":[5],"its":[7],"Applications,":[8],"146,":[9],"(2005),":[10],"317-328.)":[11],"introduced":[12],"a":[13,54,80],"new":[14,42,81,93],"construction":[15,24],"of":[16,35,48,71,83,89],"spaces":[17,77,90],"from":[18],"groups.":[19],"They":[20],"remarked":[21],"that":[22],"the":[23,33,46,49,69,72,92],"is":[25,59],"not":[26],"categorical.":[27],"In":[28],"this":[29],"paper,":[30],"based":[31],"on":[32,75],"work":[34],"Eda,":[38],"we":[39,67],"construct":[40],"two":[41],"categories":[43],"for":[44,87],"which":[45],"functor":[47,73],"fundamental":[50],"group":[51],"$\u03c0$":[52,74],"has":[53],"right":[55,60],"adjoint":[56],"consequently":[58],"exact":[61],"preseves":[63],"direct":[64],"limits.":[65],"Also,":[66],"study":[68],"behavior":[70],"quotient":[76],"give":[79],"version":[82],"Van":[84],"Kampen":[85],"theorem":[86],"join":[88],"in":[91],"categories.":[94]},"counts_by_year":[],"updated_date":"2026-11-08T12:12:28.789561","created_date":"2016-06-24T00:00:00"}
