A note on the Boardman theorem

Let (T,Mn) be a smooth involution on a closed n-dimensional manifold with n≤52dimF. This paper gives three necessary and sufficient conditions that (T,Mn) is a bounding involution.

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Main Authors: Zhi Lü, Chun-Lian Zhou
Format: Article
Language:English
Published: Wiley 1998-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171298001136
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author Zhi Lü
Chun-Lian Zhou
author_facet Zhi Lü
Chun-Lian Zhou
author_sort Zhi Lü
collection DOAJ
description Let (T,Mn) be a smooth involution on a closed n-dimensional manifold with n≤52dimF. This paper gives three necessary and sufficient conditions that (T,Mn) is a bounding involution.
format Article
id doaj-art-7537debdbe694f9693f2ba9da160cf8a
institution Kabale University
issn 0161-1712
1687-0425
language English
publishDate 1998-01-01
publisher Wiley
record_format Article
series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-7537debdbe694f9693f2ba9da160cf8a2025-02-03T01:01:05ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251998-01-0121481982210.1155/S0161171298001136A note on the Boardman theoremZhi Lü0Chun-Lian Zhou1Department of Applied Mathematics, Tsinghua University, Beijing 100084, ChinaDepartment of Mathematics, Armored Force Engineering Institute, Beijing 100072, ChinaLet (T,Mn) be a smooth involution on a closed n-dimensional manifold with n≤52dimF. This paper gives three necessary and sufficient conditions that (T,Mn) is a bounding involution.http://dx.doi.org/10.1155/S0161171298001136Involutionfixed point setprojective space bundle.
spellingShingle Zhi Lü
Chun-Lian Zhou
A note on the Boardman theorem
International Journal of Mathematics and Mathematical Sciences
Involution
fixed point set
projective space bundle.
title A note on the Boardman theorem
title_full A note on the Boardman theorem
title_fullStr A note on the Boardman theorem
title_full_unstemmed A note on the Boardman theorem
title_short A note on the Boardman theorem
title_sort note on the boardman theorem
topic Involution
fixed point set
projective space bundle.
url http://dx.doi.org/10.1155/S0161171298001136
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