On sequential versions of various parametrized invariants
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866908798020485120 |
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| author | Daundkar, Navnath Sarkar, Abhishek Sarkar, Ankur |
| author_facet | Daundkar, Navnath Sarkar, Abhishek Sarkar, Ankur |
| contents | In this paper, we introduce and study sequential versions of several fibrewise homotopy invariants, including parametrized topological complexity, parametrized (subspace) homotopic distance. We investigate their basic properties, establish relationships among them, and compare them with the corresponding classical homotopical invariants. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_21813 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On sequential versions of various parametrized invariants Daundkar, Navnath Sarkar, Abhishek Sarkar, Ankur Algebraic Topology 55M30, 55S40, 55R70, 55U35, 55P45 In this paper, we introduce and study sequential versions of several fibrewise homotopy invariants, including parametrized topological complexity, parametrized (subspace) homotopic distance. We investigate their basic properties, establish relationships among them, and compare them with the corresponding classical homotopical invariants. |
| title | On sequential versions of various parametrized invariants |
| topic | Algebraic Topology 55M30, 55S40, 55R70, 55U35, 55P45 |
| url | https://arxiv.org/abs/2601.21813 |