The Homogeneous Property of the Hilbert Cube

2012/11/06 by Denise Halverson, Denise M. Halverson, David Wright +3
Mathematics · #Algebraic and Geometric Analysis #FOS: Mathematics #General Topology (math.GN) #Geometric Topology (math.GT) #Mathematics and Applications #Point processes and geometric inequalities #Primary 57N20 #Secondary 54B10 #math.GN #math.GT #msc:54B10 #msc:57N20

paper · pdf · doi:10.48550/arxiv.1211.1363

11 pages, 5 figures

arxiv created 2012/11/06 · openalex publication_date 2012/11/06 · arxiv updated 2012/11/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

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