Induced maps in homology for p-toral compact Lie groups

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Abstract

For stable splittings of the classifying spaces of general p-toral compact Lie groups, it is important step to describe the induced maps of the stable maps on Fp-homology. In this paper, we give the structure of the induced maps on Fp-homology for the classifying spaces of p-toral compact Lie groups. For this purpose, we show that there exists a transfer map τ : BF∞pΛ → BH∞pΛ where F is a p-discrete toral group and H is a subgroup of F, and we combine this result with the property that Af(F, K) is dense in slimnA(Fn, K)pΛ.

Original languageEnglish
Pages (from-to)189-197
Number of pages9
JournalTopology and its Applications
Volume87
Issue number3
DOIs
StatePublished - 1998

Bibliographical note

Funding Information:
’ The author was supported by Ministry of Education, ’ E-mail: h?l@mm.ewha.ac.kr.

Keywords

  • Density property
  • Induced maps of stable maps on Fp-homology
  • P-discrete toral group
  • P-toral compact Lie group
  • Transfer map

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