Homotopy type through homology groups
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , |
|---|---|
| Format: | Preprint |
| Publié: |
2022
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866912271380250624 |
|---|---|
| author | Camarena, Omar Antolín Bravo, Andrés Carnero |
| author_facet | Camarena, Omar Antolín Bravo, Andrés Carnero |
| contents | We show that if a complex has free finitely generated reduced homology groups for two consecutive dimensions and trivial homology for all other dimensions, then it must have the homotopy type of a wedge of spheres of two consecutive dimensions. We also show other pairs of dimensions for which the last result can be generalized. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2212_07509 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Homotopy type through homology groups Camarena, Omar Antolín Bravo, Andrés Carnero Algebraic Topology We show that if a complex has free finitely generated reduced homology groups for two consecutive dimensions and trivial homology for all other dimensions, then it must have the homotopy type of a wedge of spheres of two consecutive dimensions. We also show other pairs of dimensions for which the last result can be generalized. |
| title | Homotopy type through homology groups |
| topic | Algebraic Topology |
| url | https://arxiv.org/abs/2212.07509 |