Decompositions of rigid spaces-Reference-Cited by-同舟云学术

Decompositions of rigid spaces

Published:1983 Issue:3 Volume:89 Page:533-536
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

van Engelen Fons,van Mill Jan

Abstract

We give an example of a rigid subspace of R {\mathbf {R}} which can be decomposed into two homeomorphic homogeneous parts, and of a rigid subspace of R {\mathbf {R}} which can be decomposed into two homeomorphic rigid parts.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1983-089-03/S0002-9939-1983-0715881-1/S0002-9939-1983-0715881-1.pdf

Reference6 articles.

1. Homogeneous Borel sets of ambiguous class two;van Engelen, Fons;Trans. Amer. Math. Soc.,1985

2. M. Lavrentieff, Contribution à la théorie des ensembles homéomorphes, Fund. Math. 6 (1924), 149-160.

3. J. Menu, A partition of 𝐑 in two homogeneous and homeomorphic parts (to appear).

4. Strong local homogeneity does not imply countable dense homogeneity;van Mill, Jan;Proc. Amer. Math. Soc.,1982

5. Homogeneous subsets of the real line;van Mill, Jan;Compositio Math.,1982

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