MONOIDS OF SELF-MAPS OF TOPOLOGICAL SPHERICAL SPACE FORMS

Daisuke Kishimoto; Nobuyuki Oda

doi:10.4310/HHA.2021.v23.n2.a8

MONOIDS OF SELF-MAPS OF TOPOLOGICAL SPHERICAL SPACE FORMS

Daisuke Kishimoto
, Nobuyuki Oda

研究成果: ジャーナルへの寄稿 › 学術誌 › 査読

1 被引用数 (Scopus)

抄録

A topological spherical space form is the quotient of a sphere by a free action of a finite group. In general, their homotopy types depend on specific actions of a group. We show that the monoid of homotopy classes of self-maps of a topological spherical space form is determined by the acting group and the dimension of the sphere, not depending on a specific action.

本文言語	英語
ページ（範囲）	141-149
ページ数	9
ジャーナル	Homology, Homotopy and Applications
巻	23
号	2
DOI	https://doi.org/10.4310/HHA.2021.v23.n2.a8
出版ステータス	出版済み - 2021
外部発表	はい

!!!All Science Journal Classification (ASJC) codes

数学（その他）

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10.4310/HHA.2021.v23.n2.a8

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引用スタイル

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title = "MONOIDS OF SELF-MAPS OF TOPOLOGICAL SPHERICAL SPACE FORMS",

abstract = "A topological spherical space form is the quotient of a sphere by a free action of a finite group. In general, their homotopy types depend on specific actions of a group. We show that the monoid of homotopy classes of self-maps of a topological spherical space form is determined by the acting group and the dimension of the sphere, not depending on a specific action.",

keywords = "Equivariant hopf theorem, Monoid of self-maps, Topological spherical space form",

author = "Daisuke Kishimoto and Nobuyuki Oda",

note = "Publisher Copyright: {\textcopyright} 2021, International Press. Permission to copy for private use granted.",

year = "2021",

doi = "10.4310/HHA.2021.v23.n2.a8",

language = "English",

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AU - Kishimoto, Daisuke

AU - Oda, Nobuyuki

PY - 2021

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N2 - A topological spherical space form is the quotient of a sphere by a free action of a finite group. In general, their homotopy types depend on specific actions of a group. We show that the monoid of homotopy classes of self-maps of a topological spherical space form is determined by the acting group and the dimension of the sphere, not depending on a specific action.

AB - A topological spherical space form is the quotient of a sphere by a free action of a finite group. In general, their homotopy types depend on specific actions of a group. We show that the monoid of homotopy classes of self-maps of a topological spherical space form is determined by the acting group and the dimension of the sphere, not depending on a specific action.

KW - Equivariant hopf theorem

KW - Monoid of self-maps

KW - Topological spherical space form

UR - https://www.scopus.com/pages/publications/85110881686

UR - https://www.scopus.com/pages/publications/85110881686#tab=citedBy

U2 - 10.4310/HHA.2021.v23.n2.a8

DO - 10.4310/HHA.2021.v23.n2.a8

M3 - Article

AN - SCOPUS:85110881686

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JO - Homology, Homotopy and Applications

JF - Homology, Homotopy and Applications

IS - 2

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MONOIDS OF SELF-MAPS OF TOPOLOGICAL SPHERICAL SPACE FORMS

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!!!All Science Journal Classification (ASJC) codes

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