Higher homotopy normalities in topological groups
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- Tsutaya, Mitsunobu
- Faculty of Mathematics, Kyushu University
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Description
The purpose of this paper is to introduce N_k(`)-maps (1 k; ` 1), which describe higher homotopy normalities, and to study their basic properties and examples. An N_k(`)-map is defined with higher homotopical conditions. It is shown that a homomorphism is an N_k(`)-map if and only if there exists fiberwise maps between fiberwise projective spaces with some properties. Also, the homotopy quotient of an N_k(k)-map is shown to be an H-space if its LS category is not greater than k. As an application, we investigate when the inclusions SU(m) ! SU(n) and SO(2m + 1) ! SO(2n + 1) are p-locally N_k(`)-maps.
Journal
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- Journal of Topology
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Journal of Topology 16 (1), 234-263, 2023-02-17
Wiley
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Details 詳細情報について
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- CRID
- 1050299903956917888
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- NII Book ID
- AA12221851
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- ISSN
- 17538424
- 17538416
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- HANDLE
- 2324/7173526
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- Text Lang
- en
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- Article Type
- journal article
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- Data Source
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- IRDB
- Crossref
- KAKEN