Let G be a connected complex semisimple affine algebraic group, and let K be a maximal compact subgroup of G. Let X be a noncompact oriented surface. The main theorem of [3] says that the moduli space of flat K-connections on X is a strong deformation retraction of the moduli space of flat G-connec
A representation of stably compact spaces, and patch topology
โ Scribed by Thierry Coquand; Guo-Qiang Zhang
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 204 KB
- Volume
- 305
- Category
- Article
- ISSN
- 0304-3975
No coin nor oath required. For personal study only.
โฆ Synopsis
This note presents a concrete representation of stably compact spaces. This is used to give a simple, and predicative, description of the patch topology of a stably compact space (J. Pure Appl. Algebra, to appear).
๐ SIMILAR VOLUMES
When computing on a (generally) uncountable topological structure d, such as the topological field of real numbers R, one must by necessity compute on a set of concrete approximations P for d. One way to do this is to represent the original structure d using P in such a way that computations on P tr
supfxcompactness family S of su (S. 1) every cover of x y elements of S as a two-elemen and ' (5.2) if SO U S1 = X = SO Lj S, with Si E S for i = 0, 1 9 2, t S, C S2 or Sz C S, (i.e., S, and S, are conaparable by inclusior!). 2.2. A topological space X is 2-cc0m~ct iff there exists an which genera
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