An unconditional result about Grothendieck spaces
نویسندگان
چکیده
منابع مشابه
Grothendieck fibrations and classifying spaces
Grothendieck fibrations have played an important role in homotopy theory. Among others, theywereused byThomason to describehomotopy colimits of small categories and byQuillen to derive long exact sequences of higher K-theory groups. We construct simplicial objects, namely the fibred and the cleaved nerve, to characterize the homotopy type of a Grothendieck fibration by using the additional stru...
متن کاملUnconditional Convergence in Banach Spaces
Introduction. This note investigates an apparent generalization of unconditionally convergent series ^ x » in weakly complete Banach spaces. A series of elements with Xi in E is said to be unconditionally convergent if for every variation of sign €j= ± 1 , ^TMeiXi is convergent. This formulation of the definition of unconditional convergence is equivalent to that given by Orliczjé]. We call ^Xi...
متن کاملUnconditional Bases and Unconditional Finite-dimensional Decompositions in Banach Spaces
Let X he a Banach space with an unconditional finite-dimensional Schauder decomposition (En). We consider the general problem of characterizing conditions under which one can construct an unconditional basis for X by forming an unconditional basis for each En. For example, we show that if sup,, dim En < c~ and X has Gordon-Lewis local unconditional s t ructure then X has an unconditional basis ...
متن کاملTeichmüller spaces, triangle groups and Grothendieck dessins
This survey article considers moduli of algebraic curves using techniques from the complex analytic Teichmüller theory of deformations for the underlying Riemann surfaces and combinatorial topology of surfaces. The aim is to provide a readable narrative, suitable for people with a little background in complex analysis, hyperbolic plane geometry and discrete groups, who wish to understand the in...
متن کاملHolonomy Quantization of Moduli Spaces & Grothendieck Groups
Gelfand’s [1] charecterization of a topological space M by the duality relationship of M and A = F(M), the commutative algebra of functions on this space has deep implications including the development of spectral calculas by Connes [2].We investigate this scheme in this paper in the context of Monopole Moduli Space M using Seiberg-Witten Equations [3].A observation has been made here that the ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1987
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1987-0891155-7