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Showing 1 to 3 of 3 for “"Urysohn space"”.
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Extending partial isomorphisms
… ordered random graph and the linearly ordered Urysohn space. The main theorem establishes meagerness of two-dimensional similarity classes in these groups. As a byproduct we get some results about the group of isometries of the Urysohn space. The third chapter is devoted to the metrics on the …
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Computability and Structure
… study of computable separable metric and Banach spaces, with a strong influence of certain ideas from computable model theory and algorithmic randomness. We consider computable metric spaces associated to Banach spaces and show that every separable Hilbert space possesses a unique computable …
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Some results on cardinality bounds and covering-type properties of a topological space.
… on bounds for the cardinality of a topological space using cardinal functions. In particular, we give variations and improvements of the most known cardinality bounds for topological spaces. -In Section 1.1 we pose our attention on cardinality bounds for Urysohn spaces. In our work we focused on …