Higher homotopy commutativity and the resultohedra
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- Hemmi Yutaka
- Department of Mathematics, Kochi University
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- Kawamoto Yusuke
- Department of Mathematics, National Defense Academy
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Abstract
We define a higher homotopy commutativity for the multiplication of a topological monoid. To give the definition, we use the resultohedra constructed by Gelfand, Kapranov and Zelevinsky. Using the higher homotopy commutativity, we have necessary and sufficient conditions for the classifying space of a topological monoid to have a special structure considered by Félix, Tanré and Aguadé. It is also shown that our higher homotopy commutativity is rationally equivalent to the one of Williams.
Journal
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- Journal of the Mathematical Society of Japan
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Journal of the Mathematical Society of Japan 63 (2), 443-471, 2011
The Mathematical Society of Japan
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Details 詳細情報について
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- CRID
- 1390001205116211968
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- NII Article ID
- 10029321602
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- NII Book ID
- AA0070177X
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- ISSN
- 18811167
- 18812333
- 00255645
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- NDL BIB ID
- 11060230
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- Text Lang
- en
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- Data Source
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- JaLC
- NDL
- Crossref
- CiNii Articles
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- Abstract License Flag
- Disallowed