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Absolute non-Archimedean polyhedral expansions of ultrauniform spaces

S. V. Ludkovsky
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Abstract

This work is devoted to the investigation of the problem about inverse mapping systems expansions of ultrauniform spaces $X$ using polyhedra over non-Archimedean locally compact fields $\bf L$. Theorems about expansions of complete ultrametric and ultrauniform spaces are proved. Absolute polyhedral expansions and inverse mapping systems of expansions for non-complete spaces are investigated. This article also contains results about a relation of $dim (X)$ and dimensions of polyhedra over $\bf L$.

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S. V. Ludkovsky. 2000-05-22. Absolute non-Archimedean polyhedral expansions of ultrauniform spaces. https://arxiv.org/abs/math/0005205

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