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Session 9. General forms of self-similarity in algebra and topology
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Generic compact spaces |
Wiesław Kubiś, Institute of Mathematics, Academy of Sciences of the Czech Republic, Czech Republic
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We shall present a procedure of constructing certain compact Hausdorff spaces as limits of ``random" inverse sequences. The spaces obtained by this way are self-similar in the sense that they have arbitrarily small pieces homeomorphic to the entire space.
As one of the applications, we shall describe the well-known hereditarily indecomposable chainable continuum, the pseudo-arc.
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