Multivariable cochain operations and little 𝑛-cubes
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Publication:4804129
DOI10.1090/S0894-0347-03-00419-3zbMath1014.18005arXivmath/0106024OpenAlexW1885434366MaRDI QIDQ4804129
James E. McClure, Jeffrey Henderson Smith
Publication date: 10 April 2003
Published in: Journal of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0106024
(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Loop space machines and operads in algebraic topology (55P48)
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Cites Work
- Simplicial group models for \(\Omega ^ nS^ nX\)
- Über die Steenrodschen Kohomologieoperationen
- Operads and motives in deformation quantization
- Formality of chain operad of little discs
- \(E_{\infty}\) algebras and \(p\)-adic homotopy theory
- Homotopy invariant algebraic structures on topological spaces
- Products of cocycles and extensions of mappings
- Combinatorial operad actions on cochains
- Homotopy-everything 𝐻-spaces
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
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