Transfers in the Group of Multiplicative Units of the Classical Cohomology Ring and Stiefel-Whitney Classes
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- Kozlowski Andrzej
- Department of Mathematics, Wayne State University
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It is proved that G(X)-the group of multiplicative units of the classical cohomology ring Π\limitsi{≥}0Hl(X; Z/2) of a CW-complex X admits a transfer map Nπw: G(X)→G(Y) defined for finite coverings π: X→Y, such that total Stiefel-Whitney class w: KO( )→G( ) is a transfer commuting natural transformation. It is also shown that Nπw possesses all the properties of transfers in generalized cohomology theories and for double coverings can be expressed in terms of the Evens transfer (“Evens norm”).
収録刊行物
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- Publications of the Research Institute for Mathematical Sciences
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Publications of the Research Institute for Mathematical Sciences 25 (1), 59-74, 1989
国立大学法人 京都大学数理解析研究所
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詳細情報 詳細情報について
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- CRID
- 1390282679931775616
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- NII論文ID
- 110004643829
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- NII書誌ID
- AA00796798
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- ISSN
- 16634926
- 00345318
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- MRID
- 999350
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- 本文言語コード
- en
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- データソース種別
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- JaLC
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