Publicação
Simplicial resolutions and Ganea fibrations
| Resumo: | In this work, we compare two approximations of a path- connected space X: the one given by the Ganea spaces Gn (X) and the one given by the realizations Λ• X n of the trun- cated simplicial resolutions induced by the loop-suspension cotriple ΣΩ. For a simply connected space X, we construct maps Λ• X n−1 → Gn (X) → Λ• X n over X, up to homo- topy. In the case n = 2, we also prove the existence of a map G2 (X) → Λ• X 1 over X (up to homotopy). |
|---|---|
| Autores principais: | Kahl, Thomas |
| Outros Autores: | Scheerer, Hans; Tanré, Daniel; Vandembroucq, Lucile |
| Assunto: | Simplicial spaces Lusternik-Schnirelmann category |
| Ano: | 2008 |
| País: | Portugal |
| Tipo de documento: | artigo |
| Tipo de acesso: | acesso aberto |
| Instituição associada: | Universidade do Minho |
| Idioma: | inglês |
| Origem: | RepositóriUM - Universidade do Minho |
| _version_ | 1867438378366009344 |
|---|---|
| author | Kahl, Thomas |
| author2 | Scheerer, Hans Tanré, Daniel Vandembroucq, Lucile |
| author2_role | author author author |
| author_facet | Kahl, Thomas Scheerer, Hans Tanré, Daniel Vandembroucq, Lucile |
| author_role | author |
| contributor_name_str_mv | RepositóriUM - Universidade do Minho |
| country_str | PT |
| creators_json_txt | [{\"Person.name\":\"Kahl, Thomas\"},{\"Person.name\":\"Scheerer, Hans\"},{\"Person.name\":\"Tanré, Daniel\"},{\"Person.name\":\"Vandembroucq, Lucile\"}] |
| datacite.contributors.contributor.contributorName.fl_str_mv | RepositóriUM - Universidade do Minho |
| datacite.creators.creator.creatorName.fl_str_mv | Kahl, Thomas Scheerer, Hans Tanré, Daniel Vandembroucq, Lucile |
| datacite.date.Accepted.fl_str_mv | 2008-01-01T00:00:00Z |
| datacite.date.available.fl_str_mv | 2011-03-02T10:43:13Z |
| datacite.date.embargoed.fl_str_mv | 2011-03-02T10:43:13Z |
| datacite.rights.fl_str_mv | http://purl.org/coar/access_right/c_abf2 |
| datacite.subjects.subject.fl_str_mv | Simplicial spaces Lusternik-Schnirelmann category |
| datacite.titles.title.fl_str_mv | Simplicial resolutions and Ganea fibrations |
| dc.contributor.none.fl_str_mv | RepositóriUM - Universidade do Minho |
| dc.creator.none.fl_str_mv | Kahl, Thomas Scheerer, Hans Tanré, Daniel Vandembroucq, Lucile |
| dc.date.Accepted.fl_str_mv | 2008-01-01T00:00:00Z |
| dc.date.available.fl_str_mv | 2011-03-02T10:43:13Z |
| dc.date.embargoed.fl_str_mv | 2011-03-02T10:43:13Z |
| dc.format.none.fl_str_mv | application/pdf |
| dc.identifier.none.fl_str_mv | https://hdl.handle.net/1822/11834 |
| dc.language.none.fl_str_mv | eng |
| dc.publisher.none.fl_str_mv | Tbilisi Centre for Mathematical Sciences |
| dc.rights.none.fl_str_mv | http://purl.org/coar/access_right/c_abf2 |
| dc.subject.none.fl_str_mv | Simplicial spaces Lusternik-Schnirelmann category |
| dc.title.fl_str_mv | Simplicial resolutions and Ganea fibrations |
| dc.type.none.fl_str_mv | http://purl.org/coar/resource_type/c_6501 |
| description | In this work, we compare two approximations of a path- connected space X: the one given by the Ganea spaces Gn (X) and the one given by the realizations Λ• X n of the trun- cated simplicial resolutions induced by the loop-suspension cotriple ΣΩ. For a simply connected space X, we construct maps Λ• X n−1 → Gn (X) → Λ• X n over X, up to homo- topy. In the case n = 2, we also prove the existence of a map G2 (X) → Λ• X 1 over X (up to homotopy). |
| dirty | 0 |
| eu_rights_str_mv | openAccess |
| format | article |
| fulltext.url.fl_str_mv | https://repositorium.uminho.pt/bitstreams/935ac591-ce64-4cac-8657-5efba3c953c2/download |
| id | rum_d0194b4c19dc8a171114a9ad77d2484f |
| identifier.url.fl_str_mv | https://hdl.handle.net/1822/11834 |
| instacron_str | repositorium |
| institution | Universidade do Minho |
| instname_str | Universidade do Minho |
| language | eng |
| network_acronym_str | rum |
| network_name_str | RepositóriUM - Universidade do Minho |
| oai_identifier_str | oai:repositorium.uminho.pt:1822/11834 |
| organization_str_mv | urn:organizationAcronym:repositorium |
| person_str_mv | Kahl, Thomas Scheerer, Hans Tanré, Daniel Vandembroucq, Lucile |
| publishDate | 2008 |
| publisher.none.fl_str_mv | Tbilisi Centre for Mathematical Sciences |
| reponame_str | RepositóriUM - Universidade do Minho |
| repository_id_str | urn:repositoryAcronym:rum |
| service_str_mv | urn:repositoryAcronym:rum |
| spelling | engTbilisi Centre for Mathematical SciencesporIn this work, we compare two approximations of a path- connected space X: the one given by the Ganea spaces Gn (X) and the one given by the realizations Λ• X n of the trun- cated simplicial resolutions induced by the loop-suspension cotriple ΣΩ. For a simply connected space X, we construct maps Λ• X n−1 → Gn (X) → Λ• X n over X, up to homo- topy. In the case n = 2, we also prove the existence of a map G2 (X) → Λ• X 1 over X (up to homotopy).application/pdfporSimplicial resolutions and Ganea fibrationsKahl, ThomasScheerer, HansTanré, DanielVandembroucq, LucileHostingInstitutionOrganizationalRepositóriUM - Universidade do Minhoe-mailmailto:repositorium@usdb.uminho.ptrepositorium@usdb.uminho.ptISSNIsPartOf1512-28912011-03-02T10:43:13Z200820072008-01-01T00:00:00ZHandlehttps://hdl.handle.net/1822/11834http://purl.org/coar/access_right/c_abf2open accessSimplicial spacesLusternik-Schnirelmann category272156 bytesliteraturehttp://purl.org/coar/resource_type/c_6501journal articlehttp://purl.org/coar/access_right/c_abf2application/pdffulltexthttps://repositorium.uminho.pt/bitstreams/935ac591-ce64-4cac-8657-5efba3c953c2/download |
| spellingShingle | Simplicial resolutions and Ganea fibrations Kahl, Thomas Simplicial spaces Lusternik-Schnirelmann category |
| status | SINGLETON |
| subject.fl_str_mv | Simplicial spaces Lusternik-Schnirelmann category |
| title | Simplicial resolutions and Ganea fibrations |
| title_full | Simplicial resolutions and Ganea fibrations |
| title_fullStr | Simplicial resolutions and Ganea fibrations |
| title_full_unstemmed | Simplicial resolutions and Ganea fibrations |
| title_short | Simplicial resolutions and Ganea fibrations |
| title_sort | Simplicial resolutions and Ganea fibrations |
| topic | Simplicial spaces Lusternik-Schnirelmann category |
| topic_facet | Simplicial spaces Lusternik-Schnirelmann category |
| url | https://hdl.handle.net/1822/11834 |
| visible | 1 |