Characterization of compact geodesic spaces

Genaro López-Acedo; Bozena Piatek

doi:10.1016/j.jmaa.2015.01.004

Characterization of compact geodesic spaces

Genaro López-Acedo
, Bozena Piatek

Department of Mathematics (RMS/RMS1)

University of Seville

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

Driven by Klee's well-known work about the topological properties of convex sets in locally convex linear spaces, we give a complete characterization of compact geodesic spaces with curvature bounded below in terms of the fixed point property for continuous functions. Furthermore, we provide an example which highlights the role of the sectional curvature in our result.

Original language	English
Pages (from-to)	748-757
Number of pages	10
Journal	Journal of Mathematical Analysis and Applications
Volume	425
Issue number	2
DOIs	https://doi.org/10.1016/j.jmaa.2015.01.004
Publication status	Published - 15 May 2015

Keywords

Compactness
Fixed point
Geodesic spaces
Sectional curvature

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/j.jmaa.2015.01.004

Cite this

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title = "Characterization of compact geodesic spaces",

abstract = "Driven by Klee's well-known work about the topological properties of convex sets in locally convex linear spaces, we give a complete characterization of compact geodesic spaces with curvature bounded below in terms of the fixed point property for continuous functions. Furthermore, we provide an example which highlights the role of the sectional curvature in our result.",

keywords = "Compactness, Fixed point, Geodesic spaces, Sectional curvature",

author = "Genaro L{\'o}pez-Acedo and Bozena Piatek",

note = "Publisher Copyright: {\textcopyright} 2015 Elsevier Inc.",

year = "2015",

month = may,

day = "15",

doi = "10.1016/j.jmaa.2015.01.004",

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T1 - Characterization of compact geodesic spaces

AU - López-Acedo, Genaro

AU - Piatek, Bozena

PY - 2015/5/15

Y1 - 2015/5/15

N2 - Driven by Klee's well-known work about the topological properties of convex sets in locally convex linear spaces, we give a complete characterization of compact geodesic spaces with curvature bounded below in terms of the fixed point property for continuous functions. Furthermore, we provide an example which highlights the role of the sectional curvature in our result.

AB - Driven by Klee's well-known work about the topological properties of convex sets in locally convex linear spaces, we give a complete characterization of compact geodesic spaces with curvature bounded below in terms of the fixed point property for continuous functions. Furthermore, we provide an example which highlights the role of the sectional curvature in our result.

KW - Compactness

KW - Fixed point

KW - Geodesic spaces

KW - Sectional curvature

UR - https://www.scopus.com/pages/publications/84922930055

U2 - 10.1016/j.jmaa.2015.01.004

DO - 10.1016/j.jmaa.2015.01.004

M3 - Article

AN - SCOPUS:84922930055

SN - 0022-247X

VL - 425

SP - 748

EP - 757

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 2

ER -

Characterization of compact geodesic spaces

Abstract

Keywords

ASJC Scopus subject areas

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