TL;DR
This paper introduces the concept of simplicial distance, a topological measure related to homotopic distance, and explores its properties, including its relation to simplicial complexity.
Contribution
The paper defines and analyzes simplicial distance, extending the concept of homotopic distance to simplicial complexes and establishing its topological properties.
Findings
Simplicial distance is a new topological invariant.
Simplicial complexity is a special case of simplicial distance.
The paper details the topological properties of simplicial distance.
Abstract
In this paper we will introduce and give topological properties of a new concept named simplicial distance which is the simplicial analog of the homotopic distance (in the sense of Marcias-Virgos and Mosquera-Lois in their paper [6]). According to our definition of simplicial distance, simplicial complexity is a particular case of this new concept.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Topological and Geometric Data Analysis