Tanaka Kohei 田中康平

… Alternative Names

TANAKA Kohei 田中康平

Less

Researcher Number	70708362
Other IDs
Affiliation (Current)	2025: 信州大学, 学術研究院社会科学系, 准教授
Affiliation (based on the past Project Information) *help	2021 – 2023: 信州大学, 学術研究院社会科学系, 准教授 2020: 信州大学, 学術研究院社会科学系, 講師 2015 – 2019: 信州大学, 学術研究院社会科学系, 助教
Review Section/Research Field	Principal Investigator Geometry / Basic Section 11020:Geometry-related Except Principal Investigator Mathematical Sciences in Search of New Cooperation
Keywords	Principal Investigator オイラー標数 / Poset / Simplicial complex / Topological complexity / 組合せ的ホモトピー論 / センサーネットワーク / ホモトピー論 / 圏 / ロボットモーション設計 / 単純ホモトピー論 … More / 位相的データ解析 / 脈体定理 / Loop-free category / Face category / Cone complex / 圏論 / 代数的位相幾何学 / Motion planning / Small category / L-S category / Loopfree category / Finite space / Δ複体 / LS category / 半順序集合 / 単体複体 / LS-category / ＬＳカテゴリー / 離散モース理論 / LS カテゴリー / オイラー積分 … More Except Principal Investigator 地理データ / 代数トポロジー的データ解析 / GISデータ / 計算代数トポロジー的データ解析. / 地理情報 / パーシステントホモロジー / 代数的トポロジー Less

Study on applied topology using combinatorial homotopy theoryPrincipal Investigator
- Principal Investigator
  
  田中康平
- Project Period (FY)
  2020 – 2024
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11020:Geometry-related
- Research Institution
  Shinshu University
Combinatorial homotopy theory of spaces and applications to sensor network using categoriesPrincipal Investigator
- Principal Investigator
  
  Tanaka Kohei
- Project Period (FY)
  2017 – 2019
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Geometry
- Research Institution
  Shinshu University
Application fo topological data analisys to geographic information
- Principal Investigator
  
  Numata Yasuhide
- Project Period (FY)
  2016 – 2018
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Mathematical Sciences in Search of New Cooperation
- Research Institution
  Shinshu University
Research on homotopy theory and reconstruction of spaces using categoriesPrincipal Investigator
- Principal Investigator
  
  TANAKA Kohei
- Project Period (FY)
  2015 – 2016
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Geometry
- Research Institution
  Shinshu University

All 2024 2023 2022 2021 2020 2019 2018 2017 2016 2015

All Journal Article Presentation

[Journal Article] Cone complexes and group actions2024
- Author(s)
  Tanaka Kohei
- Journal Title
  
  Topology and its Applications
  
  Volume: 344 Pages: 108828-108828
- DOI
  10.1016/j.topol.2024.108828
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K03607
[Journal Article] Parametrized topological complexity of poset-stratified spaces2022
- Author(s)
  Tanaka Kohei
- Journal Title
  
  Journal of Applied and Computational Topology
  
  Volume: 6 Issue: 2 Pages: 221-246
- DOI
  10.1007/s41468-021-00085-z
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K03607
[Journal Article] Simplicial approximation and refinement of monoidal topological complexity2021
- Author(s)
  Tanaka Kohei
- Journal Title
  
  Proceedings of the American Mathematical Society
  
  Volume: 149 Issue: 4 Pages: 1801-1815
- DOI
  10.1090/proc/15366
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K03607
[Journal Article] Simple homotopy theory and nerve theorem for categories2021
- Author(s)
  Tanaka Kohei
- Journal Title
  
  Topology and its Applications
  
  Volume: 291 Pages: 107609-107609
- DOI
  10.1016/j.topol.2021.107609
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K03607
[Journal Article] Lusternik--Schnirelmann category of relation matrices on finite spaces and simplicial complexes2019
- Author(s)
  Kohei Tanaka
- Journal Title
  
  Fundamenta Mathematicae
  
  Volume: 249(2) Issue: 2 Pages: 149-167
- DOI
  10.4064/fm674-8-2019
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K14183
[Journal Article] Symmetric topological complexity for finite spaces and classifying spaces2019
- Author(s)
  Kohei Tanaka
- Journal Title
  
  Topological Methods in Nonlinear Analysis
  
  Volume: 54(2) Pages: 477-493
- DOI
  10.12775/tmna.2019.048
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K14183
[Journal Article] A combinatorial description of topological complexity for finite spaces2018
- Author(s)
  Tanaka Kohei
- Journal Title
  
  Algebraic & Geometric Topology
  
  Volume: 18 Issue: 2 Pages: 779-796
- DOI
  10.2140/agt.2018.18.779
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K14183
[Journal Article] Strong homotopy types of acyclic categories and Δ-complexes. Applied Categorical Structures2018
- Author(s)
  Kohei Tanaka
- Journal Title
  
  Applied Categorical Structures
  
  Volume: 27 Issue: 3 Pages: 245-260
- DOI
  10.1007/s10485-018-9552-0
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16KT0131, KAKENHI-PROJECT-17K14183
[Journal Article] Lusternik--Schnirelmann category for categories and classifying spaces2018
- Author(s)
  Tanaka Kohei
- Journal Title
  
  Topology and its Applications
  
  Volume: 239 Pages: 65-80
- DOI
  10.1016/j.topol.2018.02.031
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K14183
[Journal Article] Minimal networks for sensor counting problem using discrete Euler calculus2017
- Author(s)
  Kohei Tanaka
- Journal Title
  
  Japan Journal of Industrial and Applied Mathematics
  
  Volume: 34(1) Issue: 1 Pages: 229-242
- DOI
  10.1007/s13160-017-0243-2
- NAID
  210000169555
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-15K17535
[Journal Article] Cech complexes for covers of small categories2017
- Author(s)
  Kohei Tanaka
- Journal Title
  
  Homology, Homotopy and Applications
  
  Volume: 19(1) Issue: 1 Pages: 281-291
- DOI
  10.4310/hha.2017.v19.n1.a14
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-15K17535
[Journal Article] Lusternik--Schnirelmann category for cell complexes and posets2016
- Author(s)
  Kohei Tanaka
- Journal Title
  
  Illinois Journal of Mathematics
  
  Volume: Vol. 59 (No.3)
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-15K17535
[Journal Article] Discrete Euler integration over functions on finite categories2016
- Author(s)
  Kohei Tanaka
- Journal Title
  
  Topology and its Applications
  
  Volume: 204 Pages: 185-197
- DOI
  10.1016/j.topol.2016.03.012
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-15K17535
[Presentation] Directed topological complexity for CW complexes2024
- Author(s)
  田中康平
- Organizer
  日本数学会年度会
- Data Source
  KAKENHI-PROJECT-20K03607
[Presentation] CW複体上の向き付けられたモーション設計2023
- Author(s)
  田中康平
- Organizer
  代数, 論理, 幾何と情報科学研究集会
- Data Source
  KAKENHI-PROJECT-20K03607
[Presentation] Sectional category for maps of finite spaces2022
- Author(s)
  田中康平
- Organizer
  Topological Complexity Seminar
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03607
[Presentation] CW 複体上の境界を跨がないモーション設計とその複雑さ2022
- Author(s)
  田中康平
- Organizer
  トポロジーシンポジウム
- Data Source
  KAKENHI-PROJECT-20K03607
[Presentation] Topological motion planning on stratified spaces2022
- Author(s)
  田中康平
- Organizer
  代数, 論理, 幾何と情報科学研究集会
- Data Source
  KAKENHI-PROJECT-20K03607
[Presentation] Parametrized topological complexity for poset-stratified spaces2021
- Author(s)
  田中康平
- Organizer
  高知ホモトピー論談話会 2021
- Data Source
  KAKENHI-PROJECT-20K03607
[Presentation] 小圏のチェック複体と脈体定理,2021
- Author(s)
  田中康平
- Organizer
  位相的データ解析の理論と応用
- Data Source
  KAKENHI-PROJECT-20K03607
[Presentation] Parametrized motion planning and micro-tourism,2021
- Author(s)
  田中康平
- Organizer
  信州トポロジーセミナー
- Invited
- Data Source
  KAKENHI-PROJECT-20K03607
[Presentation] Combinatorial homotopy theory for finite spaces(posets) and simplicial complexes2020
- Author(s)
  田中康平
- Organizer
  空間の代数的・幾何的モデルとその周辺
- Invited
- Data Source
  KAKENHI-PROJECT-20K03607
[Presentation] Topological and combinatorial approach to symmetric motion planning2019
- Author(s)
  田中　康平
- Organizer
  日本数学会秋季総合分科会
- Data Source
  KAKENHI-PROJECT-17K14183
[Presentation] Topological and combinatorial approach to symmetric motion planning2019
- Author(s)
  田中　康平
- Organizer
  代数, 論理, 幾何と情報科学研究集会
- Data Source
  KAKENHI-PROJECT-17K14183
[Presentation] Symmetric topological complexity and its combinatorial description2018
- Author(s)
  田中　康平
- Organizer
  ホモトピー沖縄（沖縄県青年会館）
- Data Source
  KAKENHI-PROJECT-17K14183
[Presentation] Topological and combinatorial methods in motion planning problem2018
- Author(s)
  田中　康平
- Organizer
  日本数学会秋季総合分科会(岡山大学)
- Data Source
  KAKENHI-PROJECT-17K14183
[Presentation] Topological complexity and L-S category for finite spaces2018
- Author(s)
  Kohei Tanaka
- Organizer
  Mapping Spaces in Algebraic Topology (Kyoto University)
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K14183
[Presentation] 位相的及び組合せ的手法を用いたモーション設計2018
- Author(s)
  田中　康平
- Organizer
  数理経済談話会＆トポロジーセミナー（信州大学）
- Data Source
  KAKENHI-PROJECT-17K14183
[Presentation] Combinatorial motion planning for finite spaces2017
- Author(s)
  田中　康平
- Organizer
  代数, 論理, 幾何と情報科学研究集会
- Data Source
  KAKENHI-PROJECT-17K14183
[Presentation] Discrete Morse theory and homotopy theory of categories2017
- Author(s)
  田中　康平
- Organizer
  京都大学代数トポロジーセミナー
- Data Source
  KAKENHI-PROJECT-17K14183
[Presentation] Topological complexity of finite spaces and its combinatorial description2017
- Author(s)
  田中　康平
- Organizer
  新居浜代数トポロジーセミナー
- Data Source
  KAKENHI-PROJECT-17K14183
[Presentation] 離散的オイラー積分と数え上げ問題への応用2017
- Author(s)
  田中　康平
- Organizer
  日本数学会秋季総合分科会
- Data Source
  KAKENHI-PROJECT-17K14183
[Presentation] オイラー標数とその応用2016
- Author(s)
  田中康平
- Organizer
  代数, 論理, 幾何と情報科学研究集会
- Place of Presentation
  信州大学
- Year and Date
  2016-08-27
- Data Source
  KAKENHI-PROJECT-15K17535
[Presentation] 有限位相空間の組み合わせ論的複雑さ2016
- Author(s)
  田中康平
- Organizer
  信州トポロジーセミナー
- Place of Presentation
  信州大学
- Year and Date
  2016-07-20
- Data Source
  KAKENHI-PROJECT-15K17535
[Presentation] 離散的オイラー積分とネットワーク理論2015
- Author(s)
  田中　康平
- Organizer
  グレブナー若手集会
- Place of Presentation
  静岡大学
- Year and Date
  2015-07-19
- Data Source
  KAKENHI-PROJECT-15K17535
[Presentation] Discrete Euler integration and sensor networks2015
- Author(s)
  田中　康平
- Organizer
  代数, 論理, 幾何と情報科学研究集会
- Place of Presentation
  鳥取環境大学
- Year and Date
  2015-09-01
- Data Source
  KAKENHI-PROJECT-15K17535
[Presentation] 組合せ論的オイラー積分とその応用2015
- Author(s)
  田中　康平
- Organizer
  経済学および諸科学における数量的方法の検討
- Place of Presentation
  青山学院大学
- Year and Date
  2015-06-20
- Data Source
  KAKENHI-PROJECT-15K17535

1. TAMAKI Dai (10252058)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
2. Numata Yasuhide (00455685)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
3. 武者忠彦 (70432177)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
4. NANDA Vidit

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

Tanaka Kohei 田中 康平

TANAKA Kohei 田中 康平

Research Projects

Research Products

Co-Researchers

Study on applied topology using combinatorial homotopy theoryPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Combinatorial homotopy theory of spaces and applications to sensor network using categoriesPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Application fo topological data analisys to geographic information

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Research on homotopy theory and reconstruction of spaces using categoriesPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] Cone complexes and group actions2024

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Parametrized topological complexity of poset-stratified spaces2022

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Simplicial approximation and refinement of monoidal topological complexity2021

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Simple homotopy theory and nerve theorem for categories2021

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Lusternik--Schnirelmann category of relation matrices on finite spaces and simplicial complexes2019

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Symmetric topological complexity for finite spaces and classifying spaces2019

Author(s)

Journal Title

DOI

Data Source

[Journal Article] A combinatorial description of topological complexity for finite spaces2018

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Strong homotopy types of acyclic categories and Δ-complexes. Applied Categorical Structures2018

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Lusternik--Schnirelmann category for categories and classifying spaces2018

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Minimal networks for sensor counting problem using discrete Euler calculus2017

Author(s)

Journal Title

DOI

NAID

Data Source

Tanaka Kohei 田中康平

TANAKA Kohei 田中康平