TY - JOUR
T1 - MONOIDS OF SELF-MAPS OF TOPOLOGICAL SPHERICAL SPACE FORMS
AU - Kishimoto, Daisuke
AU - Oda, Nobuyuki
N1 - Funding Information:
The first author was supported by JSPS KAKENHI No. 17K05248.
Publisher Copyright:
© 2021, International Press. Permission to copy for private use granted.
PY - 2021
Y1 - 2021
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.
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U2 - 10.4310/HHA.2021.v23.n2.a8
DO - 10.4310/HHA.2021.v23.n2.a8
M3 - Article
AN - SCOPUS:85110881686
VL - 23
SP - 141
EP - 149
JO - Homology, Homotopy and Applications
JF - Homology, Homotopy and Applications
SN - 1532-0073
IS - 2
ER -