Kohei Tanaka

activity

20092026

most citedA combinatorial description of topological complexity for finite spaces

9 citations · 19 across the 12 of their papers we have counts for

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math.AT2026

Quillen-McCord theorem for persistence finite posets

Vitalii Guzeev, Kohei Tanaka

In this paper, we establish a persistence version of the Quillen-McCord theorem for persistence finite posets. Given a map $f : P \to Q$ between persistence finite pos…

math.AT2017

Strong homotopy types of acyclic categories and $Δ$ -complexes

Kohei Tanaka

We extend the homotopy theories based on point reduction for finite spaces and simplicial complexes to finite acyclic categories and $Δ$ -complexes, respectively. The functors of cl…

math.AT2016★ 1 cited

Discrete Morse theory and classifying spaces

Vidit Nanda, Dai Tamaki, Kohei Tanaka

The aim of this paper is to develop a refinement of Forman's discrete Morse theory. To an acyclic partial matching $μ$ on a finite regular CW complex $X$ , Forman introduced a discr…

Quillen-McCord theorem for persistence finite posets

Strong homotopy types of acyclic categories and Δ-complexes

Discrete Morse theory and classifying spaces

Strong homotopy types of acyclic categories and $Δ$ -complexes