p-Toral Approximations Compute Bredon Homology
نویسندگان
چکیده
منابع مشابه
Bredon Equivariant Homology of Representation Spheres
In this paper we compute the Bredon equivariant homology of representation spheres corresponding to the orientable three dimensional representations of cyclic groups and dihedral groups, as well as the symmetric group on three letters equipped with a permutation representation. These computations are greatly simplified by the introduction of a splitting theorem for the Burnside ring Mackey func...
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One of the main obstacles for proving Riemann–Roch for algebraic stacks is the lack of cohomology and homology theories that are closer to the K-theory and G-theory of algebraic stacks than the traditional cohomology and homology theories for algebraic stacks. In this paper we study in detail a family of cohomology and homology theories which we call Bredon-style theories that are of this type ...
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Greenlees thanks the University of She eld for URF grant number RSG/339. The large commutative diagrams in this article were typeset using Paul Taylor's diagram package. We give a brief exposition of results of Bredon and others on passage to fixed points from stable C2 equivariant homotopy (where C2 is the group of order two) and its relation to Mahowald’s root invariant. In particular we give...
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It is knwon [23] that if p is odd, NpT is isomorphic to the semidirect product T oWp, and the fibration (BT )p (BNpT )p BWp has a section. The classifying spaces of NpT and other p–toral subgroups of K have been extensively used for the study of BK at the prime p, [13] etc. We note, however, that for the normalizer NT the loop space of (BNT )p need not be a p–compact toral group. In fact, if p ...
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We prove an analogue of Poincaré’s classification of circle homeomorphisms for conservative homeomorphisms of the two-torus with unique rotation vector and a certain bounded mean motion property. In particular, this provides an equivalent characterisation of the semi-conjugacy class of an irrational rotation within the space of conservative toral homeomorphisms. For minimal toral homeomorphisms...
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ژورنال
عنوان ژورنال: International Mathematics Research Notices
سال: 2020
ISSN: 1073-7928,1687-0247
DOI: 10.1093/imrn/rnaa088