English

Absolute non-Archimedean polyhedral expansions of ultrauniform spaces

Algebraic Topology 2007-05-23 v1

Abstract

This work is devoted to the investigation of the problem about inverse mapping systems expansions of ultrauniform spaces XX using polyhedra over non-Archimedean locally compact fields L\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)dim (X) and dimensions of polyhedra over L\bf L.

Cite

@article{arxiv.math/0005205,
  title  = {Absolute non-Archimedean polyhedral expansions of ultrauniform spaces},
  author = {S. V. Ludkovsky},
  journal= {arXiv preprint arXiv:math/0005205},
  year   = {2007}
}

Comments

39 pages, latex