Some topics related to metrics and norms, including ultrametrics and ultranorms

2015/03/06 by Stephen Semmes, Semmes, Stephen
Mathematics · #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Fixed Point Theorems Analysis #math.CA

paper · pdf · doi:10.48550/arxiv.1503.02071

61 pages

arxiv created 2015/03/06 · openalex publication_date 2015/03/06 · arxiv updated 2015/03/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Here we look at some geometric properties related to connectedness and topological dimension 0, especially in connection with norms on vector spaces over fields with absolute value functions, which may be non-archimedian.

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