Results 21 to 30 of about 80 (63)
Transfers for ramified covering maps in homology and cohomology
International Journal of Mathematics and Mathematical Sciences, Volume 2006, Issue 1, 2006., 2006 Making use of a modified version, due to McCord, of the Dold‐Thom construction of ordinary homology, we give a simple topological definition of a transfer for ramified covering maps in homology with arbitrary coefficients. The transfer is induced by a suitable map between topological groups. We also define a new cohomology transfer which is dual to the
Marcelo A. Aguilar, Carlos Prieto
wiley +1 more source
Spectra of 𝐵𝑃-linear relations, 𝑣_{𝑛}-series, and 𝐵𝑃 cohomology of Eilenberg-Mac Lane spaces [PDF]
Transactions of the American Mathematical Society, 1999 On Brown-Peterson cohomology groups of a space, we introduce a natural inherent topology, BP topology, which is always complete Hausdorff for any space. We then construct a spectra map which calculates infinite BP-linear sums convergent with respect to the BP topology, and a spectrum which describes infinite sum BP-linear relations in BP cohomology ...
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Homological Lie brackets on moduli spaces and pushforward operations in twisted K‐theory
Journal of Topology, Volume 18, Issue 2, June 2025.Abstract We develop a general theory of pushforward operations for principal G$G$‐bundles equipped with a certain type of orientation. In the case G=BU(1)$G={B\mathrm{U}(1)}$ and orientations in twisted K‐theory, we construct two pushforward operations, the projective Euler operation, whose existence was conjectured by Joyce, and the projective rank ...
Markus Upmeier
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
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
wiley +1 more source
On the same
Journal of Pure and Applied Algebra, 2010 For a connected space \(X\), let \(\text{Aut}\;X\) denote the group of homotopy classes of self-homotopy equivalences over \(X\), and let \(SNT(X)\) be the set of all homotopy types \([Y]\) such that the Postnikov approximations \(X^{(n)}\) and \(Y^{(n)}\) are homotopy equivalent for each \(n\geq 1\).
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The Morava E-theory of Eilenberg-Mac Lane spaces
, 2011 5 pages + references, updated only to include ...
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Computing Homotopy Classes for Diagrams. [PDF]
Discrete Comput Geom, 2023 Filakovský M, Vokřínek L.
europepmc +1 more source
What is category theory to cognitive science? Compositional representation and comparison. [PDF]
Front Psychol, 2022 Phillips S.
europepmc +1 more source