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Dive into the research topics where Kohei Tanaka is active.

Publication


Featured researches published by Kohei Tanaka.


Algebraic & Geometric Topology | 2018

A combinatorial description of topological complexity for finite spaces

Kohei Tanaka

This paper presents a combinatorial analog of topological complexity for finite spaces. We demonstrate that this coincides with the genuine topological complexity of the original finite space, and constitutes an upper bound for the topological complexity of its order complex.


Mathematical journal of Okayama University | 2013

A MODEL STRUCTURE ON THE CATEGORY OF SMALL CATEGORIES FOR COVERINGS

Kohei Tanaka


Homology, Homotopy and Applications | 2017

Čech complexes for covers of small categories

Kohei Tanaka


Illinois Journal of Mathematics | 2015

Lusternik–Schnirelmann category for cell complexes and posets

Kohei Tanaka


Topology and its Applications | 2016

Discrete Euler integration over functions on finite categories

Kohei Tanaka


Geoinformatics FCE CTU | 2000

Interpretation of Geomorphology and Geology Using Slope Gradation Map

Izumi Kamiya; Takahito Kuroki; Kohei Tanaka


arXiv: Category Theory | 2014

The Euler characteristic of an enriched category

Kazunori Noguchi; Kohei Tanaka


arXiv: Geometric Topology | 2011

Reconstruction of Manifolds from Their Morse Functions

Kohei Tanaka


Geoinformatics FCE CTU | 1999

Production of Slope Map and its Application

Izumi Kamiya; Kohei Tanaka; Hiroyuki Hasegawa; Takaichi Kuroki; Yasuhiro Hayata; Satoko Odagiri; Hiroshi Masaharu


Topology and its Applications | 2018

Lusternik–Schnirelmann category for categories and classifying spaces

Kohei Tanaka

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Takahito Kuroki

Fukuoka University of Education

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