Results 41 to 50 of about 624 (138)
A note on relative Gelfand–Fuks cohomology of spheres
Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.Abstract We study the Gelfand–Fuks cohomology of smooth vector fields on Sd$\mathbb {S}^d$ relative to SO(d+1)$\mathrm{SO}(d+1)$ following a method of Haefliger that uses tools from rational homotopy theory. In particular, we show that H∗(BSO(4);R)$H^*(\mathrm{B}\mathrm{SO}(4);\mathbb {R})$ injects into the relative Gelfand–Fuks cohomology which ...
Nils Prigge
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On The Cohomology of Categories
Communications, Faculty Of Science, University of Ankara Series A1Mathematics and Statistics, 1973 We have started our study of the cohomology of categories [1] in particularizing a note of C. Ehresmann [2]. Then, our wislı was to put together, in a same work, our original study and the theory of M. Andre [3 ]. The result is the text herewith presen- ted.In the first chapter, we construct a homology and a coho- mology of categories.
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Quandle cohomology is a Quillen cohomology [PDF]
Transactions of the American Mathematical Society, 2018 Racks and quandles are fundamental algebraic structures related to the topology of knots, braids, and the Yang–Baxter equation. We show that the cohomology groups usually associated with racks and quandles agree with the Quillen cohomology groups for the algebraic theories of racks and quandles, respectively.
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Homology, Homotopy and Applications, 2008 Paper published in peer reviewed journal in ...
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Journal of Algebra, 2010 Let $d \in \N$ and let $\D^d$ denote the class of all pairs $(R,M)$ in which $R = \bigoplus_{n \in \N_0} R_n$ is a Noetherian homogeneous ring with Artinian base ring $R_0$ and such that $M$ is a finitely generated graded $R$-module of dimension $\leq d$. The cohomology table of a pair $(R,M) \in \D^d$ is defined as the family of non-negative integers $
Brodmann-Maeder, Monika +2 more
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CoRR, 2018 We follow existing distributed systems frameworks employing methods from algebraic topology to formally define primitives of blockchain technology. We define the notion of cross chain liquidity, sharding and probability spaces between and within blockchain protocols. We incorporate recent advancements in synthetic homology to show that this topological
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Journal of Pure and Applied Algebra, 2005 Let \(G\) be a \(p\)-group, the `coclass' of \(G\) is defined as \(r=n-c\), where \(p^n\) is the order of \(G\) and \(c\) is the length of the lower central series of \(G\). There is a classification of finite \(p\)-groups according to their coclass: \textit{C. R. Leedham-Green} [J. Lond. Math. Soc. II, Ser. 50, No.
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