Compact spaces as quotients of projective Fraisse limits
Logic
2017-04-26 v2 General Topology
Abstract
We develop a theory of projective Fraisse limits in the spirit of Irwin- Solecki. The structures here will additionally support dual semantics as in [Sl10, Sl12]. Let Y be a compact metrizable space and let G be a closed subgroup of Homeo(Y). We show that there is always a projective Frasse limit K and a closed definable equivalence relation r on K, so that the quotient of K under r is homeomorphic to Y and the projection of K on Y induces a continuous group embedding of Aut(K) into G with dense image.
Keywords
Cite
@article{arxiv.1601.04392,
title = {Compact spaces as quotients of projective Fraisse limits},
author = {Aristotelis Panagiotopoulos},
journal= {arXiv preprint arXiv:1601.04392},
year = {2017}
}
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13 pages