Shape compacta as extension of weak homotopy of finite spaces
We construct a category that classifes compact Hausdorff spaces by their shape and fnite topological spaces by their weak homotopy type.
| Authors: | , , |
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| Format: | article |
| Publication Date: | 2022 |
| Country: | España |
| Institution: | Universidad Complutense de Madrid (UCM) |
| Repository: | Docta Complutense |
| Language: | English |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/71927 |
| Online Access: | https://hdl.handle.net/20.500.14352/71927 |
| Access Level: | Open access |
| Keyword: | 515.1 Category Theory Combinatorics Geometric Topology Matemáticas (Matemáticas) Álgebra Topología 12 Matemáticas 1201 Álgebra 1210 Topología |
| Summary: | We construct a category that classifes compact Hausdorff spaces by their shape and fnite topological spaces by their weak homotopy type. |
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