On Fico's Lemmata and the Homotopy Type of Certain Gyrations
Fuente:
arXiv
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866909980608692224 |
|---|---|
| author | Chenery, Sebastian |
| author_facet | Chenery, Sebastian |
| contents | We undertake to determine the homotopy type of gyrations of sphere products and of connected sums, thereby generalising results known in earlier literature as ''Fico's Lemmata'' which underpin gyrations in their original formulation from geometric topology. We provide applications arising from recasting these results into the modern homotopy theoretic setting. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_18893 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On Fico's Lemmata and the Homotopy Type of Certain Gyrations Chenery, Sebastian Algebraic Topology Geometric Topology Primary 57N65, Secondary 55P15, 57P10 We undertake to determine the homotopy type of gyrations of sphere products and of connected sums, thereby generalising results known in earlier literature as ''Fico's Lemmata'' which underpin gyrations in their original formulation from geometric topology. We provide applications arising from recasting these results into the modern homotopy theoretic setting. |
| title | On Fico's Lemmata and the Homotopy Type of Certain Gyrations |
| topic | Algebraic Topology Geometric Topology Primary 57N65, Secondary 55P15, 57P10 |
| url | https://arxiv.org/abs/2506.18893 |