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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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抄録
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.
収録刊行物
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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
一般社団法人 日本数学会
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詳細情報 詳細情報について
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- CRID
- 1390001205116211968
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- NII論文ID
- 10029321602
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- NII書誌ID
- AA0070177X
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- ISSN
- 18811167
- 18812333
- 00255645
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- NDL書誌ID
- 11060230
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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
- NDL
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