Cohomology of algebras over weak Hopf algebras
J. N. Alonso Álvarez, J. M. Fernández Vilaboa, R. González Rodríguez. Source: Homology, Homotopy and Applications, Volume 16, Number 1, 341--369.Abstract: In this paper we present the Sweedler...
View ArticleA purely homotopy-theoretci proof of the Blakers-Massey theorem for $n$-cubes
Brian A. Munson. Source: Homology, Homotopy and Applications, Volume 16, Number 1, 333--339.Abstract: Goodwillie’s proof of the Blakers-Massey Theorem for n- cubes relies on a lemma whose proof invokes...
View ArticleGlobal orthogonal spectra
Anna Marie Bohmann. Source: Homology, Homotopy and Applications, Volume 16, Number 1, 313--332.Abstract: For any compact Lie group $G$, there are several well-established definitions of a...
View ArticleGraphs associated with simplicial complexes
A. Grigor'yan, Yu. V. Muranov, Shing-Tung Yau. Source: Homology, Homotopy and Applications, Volume 16, Number 1, 295--311.Abstract: The cohomology of digraphs was introduced for the first time by...
View ArticleMayer-Vietoris sequences in stable derivators
Moritz Groth, Kate Ponto, Michael Shulman. Source: Homology, Homotopy and Applications, Volume 16, Number 1, 265--294.Abstract: We show that stable derivators, like stable model cate- gories, admit...
View ArticleDescribing high-order statistical dependence using "concurrence topology,"...
Steven P. Ellis, Arno Klein. Source: Homology, Homotopy and Applications, Volume 16, Number 1, 245--264.Abstract: In multivariate data analysis dependence beyond pair-wise can be important. With many...
View ArticleOn connective $K$-theory of elementary abelian 2-groups and local duality
Geoffrey M. L. Powell. Source: Homology, Homotopy and Applications, Volume 16, Number 1, 215--243.Abstract: The connective $ku$-(co)homology of elementary abelian $2$-groups is determined as a functor...
View ArticleExact sequences of commutative monoids and semimodules
Jawad Y. Abuhlail. Source: Homology, Homotopy and Applications, Volume 16, Number 1, 199--214.Abstract: Basic homological lemmas well known for modules over rings and, more generally, in the context of...
View ArticleVersal deformation theory of algebras over a quadratic operad
Alice Fialowski, Goutam Mukherjee, Anita Naolekar. Source: Homology, Homotopy and Applications, Volume 16, Number 1, 179--198.Abstract: We develop deformation theory of algebras over quadratic operads...
View ArticleKei modules and unoriented link invariants
Michael Grier, Sam Nelson. Source: Homology, Homotopy and Applications, Volume 16, Number 1, 167--177.Abstract: We define invariants of unoriented knots and links by enhancing the integral kei counting...
View ArticleComplexification and homotopy
Wojciech Kucharz, Łukasz Maciejewski. Source: Homology, Homotopy and Applications, Volume 16, Number 1, 159--165.Abstract: Let $Y$ be a real algebraic variety. We are interested in determining the...
View ArticlePostnikov towers with fibers generalized Eilenberg-Mac Lane spaces
Kouyemon Iriye, Daisuke Kishimoto. Source: Homology, Homotopy and Applications, Volume 16, Number 1, 139--157.Abstract: A generalized Postnikov tower (GPT) is defined as a tower of principal fibrations...
View ArticleThe homology graph of a precubical set
Thomas Kahl. Source: Homology, Homotopy and Applications, Volume 16, Number 1, 119--138.Abstract: Precubical sets are used to model concurrent systems. We introduce the homology graph of a precubical...
View ArticleHolohonies for connections with values in $L_\infty$-algebras
Camilo Arias Abad, Florian Schätz. Source: Homology, Homotopy and Applications, Volume 16, Number 1, 89--118.Abstract: Given a flat connection $\alpha$ on a manifold $M$ with values in a filtered...
View ArticleNote on the homotopy groups of a bouquet $S^1\vee Y$, $Y$ 1-connected
Joseph Roitberg. Source: Homology, Homotopy and Applications, Volume 16, Number 1, 83--87.Abstract: A study is made of the action of the fundamental group of a bouquet of a circle and a 1-connected...
View ArticleFree 2-rank of symmetry of products of Milnor manifolds
Mahender Singh. Source: Homology, Homotopy and Applications, Volume 16, Number 1, 65--81.Abstract: A real Milnor manifold is the non-singular hypersurface of degree $(1; 1)$ in the product of two real...
View ArticleSimplification of complexes of persistent homology computations
Paweł Dłotko, Hubert Wagner. Source: Homology, Homotopy and Applications, Volume 16, Number 1, 49--63.Abstract: In this paper we focus on preprocessing for persistent homology computations. We adapt...
View ArticleSecondy multiplication in Tate cohomology of generalized quaternion groups
Martin Langer. Source: Homology, Homotopy and Applications, Volume 16, Number 1, 27--47.Abstract: Let $k$ be a field, and let $G$ be a finite group. By a theorem of D. Benson, H. Krause, and S....
View ArticleHomology operations and cosimplicial iterated loop spaces
Philip Hackney. Source: Homology, Homotopy and Applications, Volume 16, Number 1, 1--25.Abstract: If $X$ is a cosimplical $E_{n+1}$ space then $\operatorname{Tot}(X)$ is an $E_{n+1}$ space and its mod...
View ArticlePower maps on $p$-regular Lie groups
Stephen TheriaultSource: Homology Homotopy Appl., Volume 15, Number 2, 83--102.Abstract: A simple, simply-connected, compact Lie group $G$ is $p$-regular if it is homotopy equivalent to a product of...
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