Timeline for Spaces locally modelled on $L^2(\mathbb R)$

8 events

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Jul 23, 2017 at 8:18	comment	added	David Roberts♦		Related to the warm-up question, to quote from the MR review of this article "The author proves that the sequential Hilbert space $l_2$ is homeomorphic to the countable infinite product $s$ of real lines." So one gets $L^2[0,1]$, at least.
May 10, 2017 at 19:05	comment	added	Bill Johnson		Although the classification of infinite dimensional Banach spaces as topological spaces is complete, their classification as uniform spaces is not and is a fairly hot topic currently. Consult the book of Benyamini and Lindenstrauss for an introduction into this topic.
May 10, 2017 at 18:02	comment	added	Taras Banakh		The topological classification of $\ell_2$ coincides with their homotopical classification -- this is a well-known result of classical infinite-dimensional topology (see the book of Bessaga and Pelczynski). The classification of Hilber cube manifolds is more complicated but is very well written in the old book of Chapman.
May 10, 2017 at 11:01	review	Close votes
May 10, 2017 at 12:20
May 10, 2017 at 10:17	history	edited	André Henriques	CC BY-SA 3.0	added 102 characters in body
S May 10, 2017 at 10:07	history	suggested	Amir Sagiv		relevant subject tag
May 10, 2017 at 9:34	review	Suggested edits
S May 10, 2017 at 10:07
May 10, 2017 at 9:26	history	asked	André Henriques	CC BY-SA 3.0