Download or read book Reconstruction of Manifolds and Subsets of Normed Spaces from Subgroups of Their Homeomorphism Groups written by Matatyahu Rubin and published by . This book was released on 2005 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt:
- Author : Matatyahu Rubin
- Publisher :
- Release : 2005
- ISBN :
- Pages : 246 pages
Reconstrucion of Manifolds and Subsets of Normed Spaces from Subgroups of Their Homeomorphism Groups
Download or read book Reconstrucion of Manifolds and Subsets of Normed Spaces from Subgroups of Their Homeomorphism Groups written by Matatyahu Rubin and published by . This book was released on 2005 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Reconstruction of Manifolds and Subsets of Normed Spaces from Subgroups of Their Homeomorphism Groups written by Matatyahu Rubin and published by . This book was released on 2005 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Dissertationes Mathematicae written by and published by . This book was released on 2007 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Erdos Space and Homeomorphism Groups of Manifolds written by Jan Jakobus Dijkstra and published by American Mathematical Soc.. This book was released on 2010 with total page 76 pages. Available in PDF, EPUB and Kindle. Book excerpt: Let M be either a topological manifold, a Hilbert cube manifold, or a Menger manifold and let D be an arbitrary countable dense subset of M. Consider the topological group H(M,D) which consists of all autohomeomorphisms of M that map D onto itself equipped with the compact-open topology. We present a complete solution to the topological classification problem for H(M,D) as follows. If M is a one-dimensional topological manifold, then we proved in an earlier paper that H(M,D) is homeomorphic to Qω, the countable power of the space of rational numbers. In all other cases we find in this paper that H(M,D) is homeomorphic to the famed Erdős space E E, which consists of the vectors in Hilbert space l2 with rational coordinates. We obtain the second result by developing topological characterizations of Erdős space.
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