Extending Hrushovski's groupoid-cover correspondence using simplicial groupoids
Hrushovski's suggestion, given in ["Groupoids, imaginaries and internal covers," Turkish Journal of Mathematics , 2012], to capture the structure of the 1-analysable covers of a theory T using simplicial groupoids definable in T is realized here. The ideas of Haykazyan and Moosa, foun...
Gespeichert in:
| Veröffentlicht in: | arXiv.org 2024-02 |
|---|---|
| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | |
|---|---|
| container_issue | |
| container_start_page | |
| container_title | arXiv.org |
| container_volume | |
| creator | Wang, Paul Z |
| description | Hrushovski's suggestion, given in ["Groupoids, imaginaries and internal covers," Turkish Journal of Mathematics , 2012], to capture the structure of the 1-analysable covers of a theory T using simplicial groupoids definable in T is realized here. The ideas of Haykazyan and Moosa, found in ["Functoriality and uniformity in Hrushovski's groupoid-cover correspondence," Annals of Pure and Applied Logic , 2018] are used, and extended, to define an equivalence of categories. Finally, a couple of examples are studied with these new tools. |
| doi_str_mv | 10.48550/arxiv.2009.13870 |
| format | Article |
| fullrecord | <record><control><sourceid>proquest_arxiv</sourceid><recordid>TN_cdi_arxiv_primary_2009_13870</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2447367793</sourcerecordid><originalsourceid>FETCH-LOGICAL-a523-c4be50a08e2861436f4deb762f97c5eadebbb6374a1c839e087ab2c62c0a43283</originalsourceid><addsrcrecordid>eNo9j0tLw0AUhQdBsNT-AFcGXLhKnNw7ryylVCsUuuk-TCaTOjXNxJkm1H9vH-LqcuA7h_sR8pDTjCnO6YsORzdmQGmR5agkvSETQMxTxQDuyCzGHaUUhATOcULWi-PBdrXrtskyDPHTj_HLPcdkG_zQe1enxo82JMaHYGPvu9p2xiZDPBei2_etM063_3i8J7eNbqOd_d0p2bwtNvNlulq_f8xfV6nmgKlhleVUU2VBiZyhaFhtKymgKaThVp9CVQmUTOdGYWGpkroCI8BQzRAUTsnjdfZiW_bB7XX4Kc_W5cX6RDxdiT7478HGQ7nzQ-hOP5XAmEQhZYH4C1AOXAI</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2447367793</pqid></control><display><type>article</type><title>Extending Hrushovski's groupoid-cover correspondence using simplicial groupoids</title><source>arXiv.org</source><source>Free E- Journals</source><creator>Wang, Paul Z</creator><creatorcontrib>Wang, Paul Z</creatorcontrib><description>Hrushovski's suggestion, given in ["Groupoids, imaginaries and internal covers," Turkish Journal of Mathematics , 2012], to capture the structure of the 1-analysable covers of a theory T using simplicial groupoids definable in T is realized here. The ideas of Haykazyan and Moosa, found in ["Functoriality and uniformity in Hrushovski's groupoid-cover correspondence," Annals of Pure and Applied Logic , 2018] are used, and extended, to define an equivalence of categories. Finally, a couple of examples are studied with these new tools.</description><identifier>EISSN: 2331-8422</identifier><identifier>DOI: 10.48550/arxiv.2009.13870</identifier><language>eng</language><publisher>Ithaca: Cornell University Library, arXiv.org</publisher><subject>Mathematics - Logic</subject><ispartof>arXiv.org, 2024-02</ispartof><rights>2024. This work is published under http://creativecommons.org/licenses/by-nc-nd/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.</rights><rights>http://creativecommons.org/licenses/by-nc-nd/4.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,780,784,885,27925</link.rule.ids><backlink>$$Uhttps://doi.org/10.48550/arXiv.2009.13870$$DView paper in arXiv$$Hfree_for_read</backlink><backlink>$$Uhttps://doi.org/10.1016/j.apal.2021.102970$$DView published paper (Access to full text may be restricted)$$Hfree_for_read</backlink></links><search><creatorcontrib>Wang, Paul Z</creatorcontrib><title>Extending Hrushovski's groupoid-cover correspondence using simplicial groupoids</title><title>arXiv.org</title><description>Hrushovski's suggestion, given in ["Groupoids, imaginaries and internal covers," Turkish Journal of Mathematics , 2012], to capture the structure of the 1-analysable covers of a theory T using simplicial groupoids definable in T is realized here. The ideas of Haykazyan and Moosa, found in ["Functoriality and uniformity in Hrushovski's groupoid-cover correspondence," Annals of Pure and Applied Logic , 2018] are used, and extended, to define an equivalence of categories. Finally, a couple of examples are studied with these new tools.</description><subject>Mathematics - Logic</subject><issn>2331-8422</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2024</creationdate><recordtype>article</recordtype><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><sourceid>GOX</sourceid><recordid>eNo9j0tLw0AUhQdBsNT-AFcGXLhKnNw7ryylVCsUuuk-TCaTOjXNxJkm1H9vH-LqcuA7h_sR8pDTjCnO6YsORzdmQGmR5agkvSETQMxTxQDuyCzGHaUUhATOcULWi-PBdrXrtskyDPHTj_HLPcdkG_zQe1enxo82JMaHYGPvu9p2xiZDPBei2_etM063_3i8J7eNbqOd_d0p2bwtNvNlulq_f8xfV6nmgKlhleVUU2VBiZyhaFhtKymgKaThVp9CVQmUTOdGYWGpkroCI8BQzRAUTsnjdfZiW_bB7XX4Kc_W5cX6RDxdiT7478HGQ7nzQ-hOP5XAmEQhZYH4C1AOXAI</recordid><startdate>20240214</startdate><enddate>20240214</enddate><creator>Wang, Paul Z</creator><general>Cornell University Library, arXiv.org</general><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>L6V</scope><scope>M7S</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20240214</creationdate><title>Extending Hrushovski's groupoid-cover correspondence using simplicial groupoids</title><author>Wang, Paul Z</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a523-c4be50a08e2861436f4deb762f97c5eadebbb6374a1c839e087ab2c62c0a43283</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2024</creationdate><topic>Mathematics - Logic</topic><toplevel>online_resources</toplevel><creatorcontrib>Wang, Paul Z</creatorcontrib><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science & Engineering Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Engineering Collection</collection><collection>Engineering Database</collection><collection>Access via ProQuest (Open Access)</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Engineering Collection</collection><collection>arXiv Mathematics</collection><collection>arXiv.org</collection><jtitle>arXiv.org</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Wang, Paul Z</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Extending Hrushovski's groupoid-cover correspondence using simplicial groupoids</atitle><jtitle>arXiv.org</jtitle><date>2024-02-14</date><risdate>2024</risdate><eissn>2331-8422</eissn><abstract>Hrushovski's suggestion, given in ["Groupoids, imaginaries and internal covers," Turkish Journal of Mathematics , 2012], to capture the structure of the 1-analysable covers of a theory T using simplicial groupoids definable in T is realized here. The ideas of Haykazyan and Moosa, found in ["Functoriality and uniformity in Hrushovski's groupoid-cover correspondence," Annals of Pure and Applied Logic , 2018] are used, and extended, to define an equivalence of categories. Finally, a couple of examples are studied with these new tools.</abstract><cop>Ithaca</cop><pub>Cornell University Library, arXiv.org</pub><doi>10.48550/arxiv.2009.13870</doi><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext |
| identifier | EISSN: 2331-8422 |
| ispartof | arXiv.org, 2024-02 |
| issn | 2331-8422 |
| language | eng |
| recordid | cdi_arxiv_primary_2009_13870 |
| source | arXiv.org; Free E- Journals |
| subjects | Mathematics - Logic |
| title | Extending Hrushovski's groupoid-cover correspondence using simplicial groupoids |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-03T06%3A28%3A38IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_arxiv&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Extending%20Hrushovski's%20groupoid-cover%20correspondence%20using%20simplicial%20groupoids&rft.jtitle=arXiv.org&rft.au=Wang,%20Paul%20Z&rft.date=2024-02-14&rft.eissn=2331-8422&rft_id=info:doi/10.48550/arxiv.2009.13870&rft_dat=%3Cproquest_arxiv%3E2447367793%3C/proquest_arxiv%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2447367793&rft_id=info:pmid/&rfr_iscdi=true |