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arXiv · 2601.21813

On sequential versions of various parametrized invariants

Navnath Daundkar·Abhishek Sarkar·Ankur Sarkar
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Abstract

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.

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Navnath Daundkar, Abhishek Sarkar, Ankur Sarkar. 2026-01-29. On sequential versions of various parametrized invariants. https://arxiv.org/abs/2601.21813

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