Homotopy G-algebra structure on Bredon–Illman cochain complex

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• 作者：Mukherjee ; Goutam ; Pandey ; Neeta
• 刊名：Topology and its Applications
• 出版年：2004
• 出版时间：October 28, 2004
• 年：2004
• 卷：144
• 期：1-3
• 页码：51-65
• 全文大小：166 K

文摘

Let K be a topological group. The Bredon–Illman cohomology with equivariant local coefficients of a K-space was introduced in [Quart. J. Math. Oxford (2) 47 (1996) 199]. In this paper we show that the Bredon–Illman cochain complex defining the above cohomology admits a homotopy G-algebra structure as introduced in [Internat. Math. Res. Notices 3 (1995) 141]. As a consequence, we derive a B_∞-algebra structure on the cochain complex.