A net theoretic approach to homotopy theory
Fuente:
arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
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| _version_ | 1866929563889565696 |
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| author | Mezabarba, Renan Maneli Monteiro, Rodrigo Santos Paiva, Thales Fernando Vilamaior |
| author_facet | Mezabarba, Renan Maneli Monteiro, Rodrigo Santos Paiva, Thales Fernando Vilamaior |
| contents | This paper uses a net-theoretic approach to convergence spaces, aimed to simplify the description of continuous convergence in order to apply it in problems concerning Homotopy Theory. We present methods for handling homotopies of limit spaces, define fundamental groupoids, and prove a generalized version of the Seifert-van Kampen Theorem for limit spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_18245 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A net theoretic approach to homotopy theory Mezabarba, Renan Maneli Monteiro, Rodrigo Santos Paiva, Thales Fernando Vilamaior Algebraic Topology General Topology This paper uses a net-theoretic approach to convergence spaces, aimed to simplify the description of continuous convergence in order to apply it in problems concerning Homotopy Theory. We present methods for handling homotopies of limit spaces, define fundamental groupoids, and prove a generalized version of the Seifert-van Kampen Theorem for limit spaces. |
| title | A net theoretic approach to homotopy theory |
| topic | Algebraic Topology General Topology |
| url | https://arxiv.org/abs/2410.18245 |