Contiguity Distance between Simplicial Maps
Ayse Borat, Mehmetcik Pamuk, Tane Vergili
TL;DR
This paper introduces the concept of contiguity distance between simplicial maps, showing how it generalizes existing notions like LS-category and topological complexity within a combinatorial framework.
Contribution
It defines and explores properties of contiguity distance, unifying several topological invariants in the setting of simplicial maps.
Findings
Contiguity distance generalizes LS-category and topological complexity.
Simplicial versions of these invariants are particular cases.
The paper establishes foundational properties of contiguity distance.
Abstract
We study properties of contiguity distance between simplicial maps. In particular, we show that simplicial versions of -category and topological complexity are particular cases of this more general notion.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Topological and Geometric Data Analysis · Fuzzy and Soft Set Theory