arXiv Analytics

Sign in

arXiv:1211.1363 [math.GT]AbstractReferencesReviewsResources

The Homogeneous Property of the Hilbert Cube

Denise M. Halverson, David G. Wright

Published 2012-11-06Version 1

We demonstrate the homogeneity of the Hilbert Cube. In particular, we construct explicit self-homeomorphisms of the Hilbert cube so that given any two points, a homeomorphism moving one to the other may be realized.

Comments: 11 pages, 5 figures
Categories: math.GT, math.GN
Subjects: 57N20, 54B10
Related articles: Most relevant | Search more
arXiv:1302.5658 [math.GT] (Published 2013-02-22, updated 2014-09-13)
Topologically invariant $σ$-ideals on the Hilbert cube
arXiv:1309.7491 [math.GT] (Published 2013-09-28)
A short proof of Toruńczyk's Characterization Theorems
arXiv:1112.6374 [math.GT] (Published 2011-12-29)
Recognizing the topology of the space of closed convex subsets of a Banach space