Proximate fixed property and operations

2013/05/02 by Mirosław Sobolewski, Sobolewski, Mirosław
Mathematics · #FOS: Mathematics #Fixed Point Theorems Analysis #General Topology (math.GN) #math.GN

paper · pdf · doi:10.48550/arxiv.1305.0529

7 pages, 2 figures

arxiv created 2013/05/02 · openalex publication_date 2013/05/02 · arxiv updated 2013/05/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Klee introduced the proximate fixed point property for compacta which is stronger than fixed point property. We consider relations between proximate fixed point property of spaces being result of application of different operations to continua. As an application we show this property for products, cones, suspensions and joins of span 0 continua.

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