منابع مشابه
Coarse Alexander Duality and Duality Groups
We study discrete group actions on coarse Poincare duality spaces, e.g. acyclic simplicial complexes which admit free cocompact group actions by Poincare duality groups. When G is an (n − 1) dimensional duality group and X is a coarse Poincare duality space of formal dimension n, then a free simplicial action G y X determines a collection of “peripheral” subgroups H1, . . . , Hk ⊂ G so that the...
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If F is known to be free, with generators gi, /3 may be constructed by setting j3g; = &», with bi so chosen that pbi = agi. Conversely, let F have the cited property and represent F as a quotient group Fo/Ro> where F0 is a free abelian group. Choose A—F and B = Fo in (1.1), let a be the identity, and p the given homomorphism of .Fo onto F with kernel Ro. Then, by (1.2), a=p/3 is an isomorphism,...
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Generators for the discrete U-duality groups of toroidally compactified M-theory in d ≥ 4 are presented and used to determine the d = 3 U-duality group. This contribution summarizes the results of [1].
متن کاملDuality for Sin-groups
The well-known duality theorem of Pontryagin and van Kampen [27, 20] states that the characters of an Abelian locally compact group G also form a group Ĝ, and the group of characters of Ĝ is isomorphic to G. For non-Abelian groups, there is no such duality. In a few words, difficulties on this way arise from the fact that the dual space of a noncommutative group, however defined, has no natural...
متن کاملPoincaré Duality Groups
Given any group Γ, there is an aspherical CW -complex BΓ (also denoted by K(Γ, 1)) with fundamental group Γ; moreover, BΓ is unique up to homotopy equivalence (cf. [Hu]). BΓ is called the classifying space of Γ. (BΓ is also called an Eilenberg-MacLane space for Γ.) So, the theory of aspherical CW -complexes, up to homotopy, is identical with the theory of groups. This point of view led to the n...
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ژورنال
عنوان ژورنال: Annals of K-Theory
سال: 2020
ISSN: 2379-1691,2379-1683
DOI: 10.2140/akt.2020.5.465