Results 41 to 50 of about 3,488 (119)
The accessibility rank of weak equivalences [PDF]
, 2015 We study the accessibility properties of trivial cofibrations and weak equivalences in a combinatorial model category and prove an estimate for the accessibility rank of weak equivalences.
Raptis, G., Rosický, J.
core
The Mumford conjecture (after Bianchi)
Journal of Topology, Volume 18, Issue 1, March 2025.Abstract We give a self‐contained and streamlined rendition of Andrea Bianchi's recent proof of the Mumford conjecture using moduli spaces of branched covers.
Ronno Das, Dan Petersen
wiley +1 more source
Journal of Pure and Applied Algebra, 1988 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rosebrugh, Robert, Wood, R.J.
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A stable splitting of factorisation homology of generalised surfaces
Journal of the London Mathematical Society, Volume 111, Issue 2, February 2025.Abstract For a manifold W$W$ and an Ed$\smash{E_{\smash{d}} }$‐algebra A$A$, the factorisation homology ∫WA$\smash{\int _W A}$ can be seen as a generalisation of the classical configuration space of labelled particles in W$W$. It carries an action by the diffeomorphism group Diff∂(W)$\mathrm{Diff}{}_\partial (W)$, and for the generalised surfaces Wg,1≔(
Florian Kranhold
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The Cofibre of the Transfer Map [PDF]
Proceedings of the American Mathematical Society, 1985 The transfer for a finite covering \(p: X\to B\) is a stable map tr: \(\Sigma\) \({}^ 0B_+\to \Sigma^ 0X_+\). Let \({\mathcal C}\) be the cofibre of tr given in the sequence \(\Sigma B_+\to \Sigma X_+\to {\mathcal C}\). The author shows that there is a spectral sequence \(H^ p_ G(X;\tilde M\otimes h^ q)\Rightarrow h^{p+q}({\mathcal C})\) for any ...
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On the equivalence of Lurie's ∞$\infty$‐operads and dendroidal ∞$\infty$‐operads
Journal of Topology, Volume 17, Issue 4, December 2024.Abstract In this paper, we prove the equivalence of two symmetric monoidal ∞$\infty$‐categories of ∞$\infty$‐operads, the one defined in Lurie [Higher algebra, available at the author's homepage, http://math.ias.edu/~lurie/, September 2017 version] and the one based on dendroidal spaces.
Vladimir Hinich, Ieke Moerdijk
wiley +1 more source
Configuration spaces as commutative monoids
Bulletin of the London Mathematical Society, Volume 56, Issue 9, Page 2847-2862, September 2024.Abstract After one‐point compactification, the collection of all unordered configuration spaces of a manifold admits a commutative multiplication by superposition of configurations. We explain a simple (derived) presentation for this commutative monoid object. Using this presentation, one can quickly deduce Knudsen's formula for the rational cohomology
Oscar Randal‐Williams
wiley +1 more source
Journal of Topology, Volume 17, Issue 2, June 2024.Abstract In a 2005 paper, Casacuberta, Scevenels, and Smith construct a homotopy idempotent functor E$E$ on the category of simplicial sets with the property that whether it can be expressed as localization with respect to a map f$f$ is independent of the ZFC axioms. We show that this construction can be carried out in homotopy type theory.
J. Daniel Christensen
wiley +1 more source
Relative directed homotopy theory of partially ordered spaces [PDF]
, 2006 Algebraic topological methods have been used successfully in concurrency theory, the domain of theoretical computer science that deals with distributed computing. L. Fajstrup, E. Goubault, and M. Raussen have introduced partially ordered spaces (pospaces)
Kahl, Thomas
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