Abstract
AbstractRecent research in coarse geometry revealed similarities between certain concepts of large scale geometry and topology. It is less known that a small scale analog of topology has been developed much earlier in the form of the uniform category. This paper is devoted to an exposition of analogies between basic concepts of topology (paracompactness, covering dimension), important ideas of coarse geometry (Property A of G. Yu, asymptotic dimension of M. Gromov), and notions from the uniform category (l 1-property, the uniform dimension).KeywordsCoarse GeometryUniform CategoryCheeger ConstantLebesgue NumberDranishnikovThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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