Locally definable homotopy
| dc.contributor.author | Baro González, Elías | |
| dc.contributor.author | Otero, Margarita | |
| dc.date.accessioned | 2023-06-20T00:07:53Z | |
| dc.date.available | 2023-06-20T00:07:53Z | |
| dc.date.issued | 2010 | |
| dc.description.abstract | T. In [3] o-minimal homotopy was developed for the definable category, proving o-minimal versions of the Hurewicz theorems and the Whitehead theorem. Here, we extend these results to the category of locally definable spaces, for which we introduce homology and homotopy functors. We also study the concept of connectedness in W -definable groups – which are examples of locally definable spaces. We show that the various concepts of connectedness associated to these groups, which have appeared in the literature, are non-equivalent | |
| dc.description.department | Depto. de Álgebra, Geometría y Topología | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | GEOR | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/14472 | |
| dc.identifier.doi | 10.1016/j.apal.2009.03.003 | |
| dc.identifier.issn | 0168-0072 | |
| dc.identifier.officialurl | https://doi.org/10.1016/j.apal.2009.03.003 | |
| dc.identifier.relatedurl | http://www.sciencedirect.com/science/journal/01680072 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/42044 | |
| dc.issue.number | 4 | |
| dc.journal.title | Annals of Pure and Applied Logic | |
| dc.language.iso | eng | |
| dc.page.final | 503 | |
| dc.page.initial | 488 | |
| dc.publisher | Elsevier | |
| dc.relation.projectID | info:eu-repo/grantAgreement/MEC//MTM2005-568-E/ES/ | |
| dc.relation.projectID | Grupos UCM 910444 | |
| dc.rights.accessRights | open access | |
| dc.subject.cdu | 510.6 | |
| dc.subject.cdu | 510.67 | |
| dc.subject.cdu | 515.142.25 | |
| dc.subject.keyword | O-minimality | |
| dc.subject.keyword | Locally definable space | |
| dc.subject.keyword | Locally definable group | |
| dc.subject.keyword | Connectedness | |
| dc.subject.keyword | O-minimal homotopy | |
| dc.subject.keyword | Homotopy functor | |
| dc.subject.keyword | Homology functor | |
| dc.subject.ucm | Lógica simbólica y matemática (Matemáticas) | |
| dc.subject.unesco | 1102.14 Lógica Simbólica | |
| dc.title | Locally definable homotopy | |
| dc.type | journal article | |
| dc.volume.number | 161 | |
| dcterms.references | Baro E, Otero M. Locally definable homotopy. Annals of Pure and Applied Logic 2010;161:488–503. https://doi.org/10.1016/j.apal.2009.03.003. | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 8695b08a-762f-4ef9-ad24-b6fe687ab7cd | |
| relation.isAuthorOfPublication.latestForDiscovery | 8695b08a-762f-4ef9-ad24-b6fe687ab7cd |
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