On sequential versions of various parametrized invariants
Algebraic Topology
2026-01-30 v1
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.
Cite
@article{arxiv.2601.21813,
title = {On sequential versions of various parametrized invariants},
author = {Navnath Daundkar and Abhishek Sarkar and Ankur Sarkar},
journal= {arXiv preprint arXiv:2601.21813},
year = {2026}
}
Comments
25 pages. Comments are welcome