Results 31 to 40 of about 233 (46)
Journal of Mathematics, Volume 2013, Issue 1, 2013., 2013 We present a topological result, named crossing lemma, dealing with the existence of a continuum which crosses a topological space between a pair of “opposite” sides. This topological lemma allows us to obtain some fixed point results. In the works of Pascoletti et al., 2008, and Pascoletti and Zanolin, 2010, we have widely exposed the crossing lemma ...
Anna Pascoletti +2 more
wiley +1 more source
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
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Large and small group homology
Journal of Topology, Volume 3, Issue 2, Page 463-486, 2010., 2010 For several instances of metric largeness like enlargeability or having hyperspherical universal covers, we construct non‐large vector subspaces in the rational homology of finitely generated groups. The functorial properties of this construction imply that the corresponding largeness properties of closed manifolds depend only on the image of their ...
Michael Brunnbauer, Bernhard Hanke
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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
wiley +1 more source
The slice spectral sequence for a motivic analogue of the connective K(1)$K(1)$‐local sphere
Proceedings of the London Mathematical Society, Volume 129, Issue 5, November 2024.Abstract We compute the 2‐adic effective slice spectral sequence (ESSS) for the motivic stable homotopy groups of L$L$, a motivic analogue of the connective K(1)$K(1)$‐local sphere over prime fields of characteristic not two. Together with the analogous computation over algebraically closed fields, this yields information about the motivic K(1)$K(1 ...
Hana Jia Kong, J. D. Quigley
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Some rational homology computations for diffeomorphisms of odd‐dimensional manifolds
Journal of Topology, Volume 17, Issue 1, March 2024.Abstract We calculate the rational cohomology of the classifying space of the diffeomorphism group of the manifolds Ug,1n:=#g(Sn×Sn+1)∖int(D2n+1)$U_{g,1}^n:= \#^g(S^n \times S^{n+1})\setminus \mathrm{int}(D^{2n+1})$, for large g$g$ and n$n$, up to degree n−3$n-3$.
Johannes Ebert, Jens Reinhold
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, 2009 Tesis doctoral inédita. Universidad Autónoma de Madrid, Facultad de Ciencias, Departamento de Matemáticas.
Baro González, Elías
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Further investigations on certain star selection principles
, 2022 We consider certain star versions of the Menger, Hurewicz and Rothberger property. Few important observations concerning these properties are presented, which have not been investigated in earlier works.
Alam, Nur, Chandra, Debraj
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Closed surfaces and character varieties
, 2012 The powerful character variety techniques of Culler and Shalen can be used to find essential surfaces in knot manifolds. We show that module structures on the coordinate ring of the character variety can be used to identify detected boundary slopes as ...
Boyer +11 more
core +1 more source
Combinatorics of embeddings [PDF]
, 2011 We offer the following explanation of the statement of the Kuratowski graph planarity criterion and of 6/7 of the statement of the Robertson-Seymour-Thomas intrinsic linking criterion.
Melikhov, Sergey A.
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