On a finite type Multivalued Shape

2023/01/31 by Mondéjar, Diego
Computer Science · #54B20 #54C56 #54C60 #54D10 #55P55 #Advanced Vision and Imaging #Digital Image Processing Techniques #FOS: Mathematics #General Topology (math.GN) #Geometric Topology (math.GT) #Topological and Geometric Data Analysis

paper · pdf · doi:10.48550/arxiv.2301.13765

openalex publication_date 2023/01/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We briefly review the origins and development of Borsuk's Theory of Shapes and the Multivalued Shape of Sanjurjo. We use a construction over metric compacta using hyperspaces to define a finite type version.

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