Results 1 to 10 of about 933 (203)
Homotopy Equivalences in Equivariant Topology [PDF]
Proceedings of the American Mathematical Society, 1976 Homomorphisms up to homotopy (higher homotopies that is) are generalized for the equivariant category. Homotopy equivalences have an inverse in this new category. Introduction. In equivariant topology the notion of a homotopy equivalence presents a problem. Strictly within the equivariant category, homotopy equivalence seems to be too limited a concept,
Martin Fuchs
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Equivariant homotopy equivalence of homotopy colimits of $$G$$-functors [PDF]
Arabian Journal of Mathematics, 2023 AbstractGiven a group G and a G-category $${\textbf{C}}$$ C , we give a condition on a diagram of simplicial sets indexed by $${\textbf{C}}$$ C that allows us to define a natural action of G on its homotopy colimit, and some other simplicial sets defined in terms of the diagram.
Rafael Villarroel-Flores
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T-Homotopy and Refinement of Observation—Part II: Adding New T-Homotopy Equivalences [PDF]
International Journal of Mathematics and Mathematical Sciences, 2007 This paper is the second part of a series of papers about a new notion of T-homotopy of flows. It is proved that the old definition of T-homotopy equivalence does not allow the identification of the directed segment with the 3-dimensional cube.
Philippe Gaucher
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Property C and Fine Homotopy Equivalences [PDF]
Proceedings of the American Mathematical Society, 1984 We show that within the class of metric σ \sigma -compact spaces, proper fine homotopy equivalences preserve property C C , which is a slight generalization of countable dimensionality. We also give an example of an open fine homotopy equivalence of a countable dimensional space onto a space containing the Hilbert cube.
van Mill, Jan, Mogilski, Jerzy
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Affine-periodic solutions by asymptotic and homotopy equivalence [PDF]
Boundary Value Problems, 2020 This paper studies the existence of affine-periodic solutions which have the form of x ( t + T ) = Q x ( t ) $x(t+T)=Qx(t)$ with some nonsingular matrix Q.
Jiamin Xing, Xue Yang
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$G^{\infty}$-fiber homotopy equivalence [PDF]
Illinois Journal of Mathematics, 1989 Let G be a compact connected Lie group and V, W two complex G-modules, and denote the unit spheres by SV, SW. A \(G^{\infty}\)-equivalence is, by definition, a map \(EG\times_ G(SV,SV^ G)\to^{f}EG\times_ G(SW,SW^ G)\) over BG, where EG\(\to BG\) is a universal G-bundle and of degree one on the fiber.
Sufian Y. Husseini
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Twisted self-homotopy equivalences [PDF]
Pacific Journal of Mathematics, 1970 Allan J. Sieradski
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Spaces which Invert Weak Homotopy Equivalences [PDF]
Proceedings of the Edinburgh Mathematical Society, 2018 AbstractIt is well known that if X is a CW-complex, then for every weak homotopy equivalence f : A → B, the map f* : [X, A] → [X, B] induced in homotopy classes is a bijection. In fact, up to homotopy equivalence, only CW-complexes have that property. Now, for which spaces X is f* : [B, X] → [A, X] a bijection for every weak equivalence f?
Jonathan Ariel Barmak
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Torus actions, Morse homology, and the Hilbert scheme of points on affine space [PDF]
Épijournal de Géométrie Algébrique, 2021 We formulate a conjecture on actions of the multiplicative group in motivic homotopy theory. In short, if the multiplicative group G_m acts on a quasi-projective scheme U such that U is attracted as t approaches 0 in G_m to a closed subset Y in U, then ...
Burt Totaro
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Fibre homotopy self-equivalences [PDF]
Kodai Mathematical Journal, 1982 Seiya Sasao
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