Homogeneity properties in large compact S-spaces

Details Homogeneity properties in large compact S-spaces Homogeneity properties in large compact S-spaces

2004-08-24

arxiv.org/abs/math/0408339v1

Mathematics

General Topology

12 pages

Scientific paper

Under Jensen's Diamond Principle, we show how to construct a large compact S-space while having some control over its group of autohomeomorphisms. In particular we can make the space rigid or h-homogeneous (i.e. any two clopen subsets are homeomorphic). We also get a space which is B-homogeneous and not h-homogeneous, partially answering a question of M.V. Matveev. A space is B-homogeneous if it has a base every element of which can be mapped onto every other one by a homeomorphism of the whole space.

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