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Induced maps in homology for p-toral compact Lie groups

Title
Induced maps in homology for p-toral compact Lie groups
Authors
Lee, HS
Ewha Authors
이향숙
SCOPUS Author ID
이향숙scopus
Issue Date
1998
Journal Title
TOPOLOGY AND ITS APPLICATIONS
ISSN
0166-8641JCR Link
Citation
vol. 87, no. 3, pp. 189 - 197
Keywords
p-toral compact Lie groupp-discrete toral groupinduced maps of stable maps on F-p-homologytransfer mapdensity property
Publisher
ELSEVIER SCIENCE BV
Indexed
SCIE; SCOPUS WOS scopus
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 F-p-homology. In this paper, we give the structure of the induced maps on F-p-homology for the classifying spaces of p-toral compact Lie groups. For this purpose, we show that there exists a transfer map tau: BFinfinity pboolean AND --> BHinfinity pboolean AND where F-infinity is p-discrete toral group and H-infinity is a subgroup of F, and we combine this result with the property that A(f)(F-infinity, K) is dense in <(lim)under left arrow>(n)A(F-n, K)(p)(boolean AND). (C) 1998 Elsevier Science B.V.
DOI
10.1016/S0166-8641(97)00169-7
Appears in Collections:
자연과학대학 > 수학전공 > Journal papers
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