A decomposition of into two homeomorphic rigid parts |
| |
Authors: | Fons van Engelen |
| |
Institution: | Mathematisch Instituut, Universiteit van Amsterdam, Roetersstraat 15, 1018 WB Amsterdam, The Netherlands |
| |
Abstract: | Let X be separable, completely metrizable, and dense in itself. We show that if X admits a triple (D1, D2, h) of two countable dense subsets D1 and D2 and a homeomorphism h: X?D1 → X?D2, satisfying some special properties, then there is a rigid subspace A of X such that A is homeomorphic to X?A = hA]; for , such atriple is shown to exist. |
| |
Keywords: | 54G20 54C99 |
本文献已被 ScienceDirect 等数据库收录! |
|