Results 1 to 10 of about 2,551 (80)

Cohomology of Presheaves of Monoids

Mathematics, 2020
The purpose of this work is to extend Leech cohomology for monoids (and so Eilenberg-Mac Lane cohomology of groups) to presheaves of monoids on an arbitrary small category.
Pilar Carrasco, Antonio M. Cegarra
doaj   +1 more source

Higher topological Hochschild homology of periodic complex K-theory [PDF]

, 2020
We describe the topological Hochschild homology of the periodic complex $K$-theory spectrum, $THH(KU)$, as a commutative $KU$-algebra: it is equivalent to $KU[K(\mathbb{Z},3)]$ and to $F(\Sigma KU_{\mathbb{Q}})$, where $F$ is the free commutative $KU ...
Stonek, Bruno
core   +1 more source

Eilenberg–Mac Lane Spaces for Topological Groups

Axioms, 2019
In this paper, we establish a topological version of the notion of an Eilenberg−Mac Lane space. If X is a pointed topological space, π 1 ( X ) has a natural topology coming from the compact-open topology on the space of maps S
Ged Corob Cook
doaj   +1 more source

Homotopy exponents for large H-spaces [PDF]

, 2008
We show that H-spaces with finitely generated cohomology, as an algebra or as an algebra over the Steenrod algebra, have homotopy exponents at all primes.
Centre de Recerca Matemàtica, Chachólski, Wojciech, Pitsch, Wolfgang, Scherer, Jérôme, Stanley, Don   +4 more
core   +2 more sources

Mathematical Models of Abstract Systems: Knowing abstract geometric forms [PDF]

, 2013
Scientists use models to know the world. It i susually assumed that mathematicians doing pure mathematics do not. Mathematicians doing pure mathematics prove theorems about mathematical entities like sets, numbers, geometric figures, spaces, etc., they ...
Marquis, Jean-Pierre
core   +3 more sources

Topological Hochschild homology of Thom spectra and the free loop space

, 2008
We describe the topological Hochschild homology of ring spectra that arise as Thom spectra for loop maps f: X->BF, where BF denotes the classifying space for stable spherical fibrations.
Andrew J Blumberg, Baker, Bousfield, Bousfield, Christian Schlichtkrull, Cohen, Elmendorf, Hirschhorn, Kriz, Lewis, Mac Lane, Madsen, Mahowald, Mahowald, May, May, May, May, Ralph L Cohen, Schlichtkrull, Stong, Thomason, Waldhausen, Whitehead   +23 more
core   +1 more source

Higher Auslander algebras of type $\mathbb{A}$ and the higher Waldhausen $\operatorname{S}$-constructions

, 2019
These notes are an expanded version of my talk at the ICRA 2018 in Prague, Czech Republic; they are based on joint work with Tobias Dyckerhoff and Tashi Walde.
Jasso, Gustavo
core   +1 more source

On realizing diagrams of Pi-algebras

, 2006
Given a diagram of Pi-algebras (graded groups equipped with an action of the primary homotopy operations), we ask whether it can be realized as the homotopy groups of a diagram of spaces.
Adámek, Baues, Blanc, Blanc, Blanc, Blanc, Blanc, Bousfield, David Blanc, Dror Farjoun, Dwyer, Dwyer, Goerss, Goerss, Hirschhorn, James M Turner, Jardine, Mark W Johnson, May, Quillen, Quillen, Spaliński, Toda, Whitehead   +23 more
core   +2 more sources

Azumaya Objects in Triangulated Bicategories

, 2013
We introduce the notion of Azumaya object in general homotopy-theoretic settings. We give a self-contained account of Azumaya objects and Brauer groups in bicategorical contexts, generalizing the Brauer group of a commutative ring.
A Baker, A Baker, A Neeman, B Day, B Shipley, B Toën, EM Vitale, F Borceux, J Rickard, JP May, M Auslander, M Auslander, M Hovey, MA Knus, MA Mandell, N Gurski, PM Cohn, S Schwede, S Schwede, S Schwede   +19 more
core   +1 more source

Knots and distributive homology: from arc colorings to Yang-Baxter homology

, 2014
This paper is a sequel to my essay "Distributivity versus associativity in the homology theory of algebraic structures" Demonstratio Math., 44(4), 2011, 821-867 (arXiv:1109.4850 [math.GT]).
Przytycki, Jozef H.
core   +1 more source