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pro vyhledávání: '"Jauhari, Ekansh"'
Autor:
Jauhari, Ekansh
Recently, a new homotopy invariant of metric spaces, called the distributional LS-category, was defined, which provides a lower bound to the classical LS-category. In this paper, we obtain several sufficient conditions for the distributional LS-categ
Externí odkaz:
http://arxiv.org/abs/2408.11036
Autor:
Jauhari, Ekansh
We develop the theory of the intertwining distributional versions of the LS-category and the sequential topological complexities of a space $X$, denoted by $\mathsf{icat}(X)$ and $\mathsf{iTC}_m(X)$, respectively. We prove that they satisfy most of t
Externí odkaz:
http://arxiv.org/abs/2406.12265
Autor:
Jauhari, Ekansh
We define a (non-decreasing) sequence $\{\mathsf{dTC}_m(X)\}_{m\ge 2}$ of higher versions of distributional topological complexity ($\mathsf{dTC}$) of a space $X$ introduced by Dranishnikov and Jauhari. This sequence generalizes $\mathsf{dTC}(X)$ in
Externí odkaz:
http://arxiv.org/abs/2401.17218
We define a new version of Topological Complexity (TC) of a space, denoted as $\text{dTC}$, which, we think, fits better for motion planning for some autonomous systems. Like Topological complexity, \text{dTC} is also a homotopy invariant. Also, $\te
Externí odkaz:
http://arxiv.org/abs/2401.04272