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

Katedra Matematyki (RMS/RMS1)

University of Seville

Wyniki badań: Wkład do czasopisma › Artykuł › recenzja

3 Cytowania z bazy Scopus

Abstrakt

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.

Język oryginału	angielski
Strony (od–do)	748-757
Liczba stron	10
Czasopismo	Journal of Mathematical Analysis and Applications
Tom	425
Numer wydania	2
Identyfikatory DOI	https://doi.org/10.1016/j.jmaa.2015.01.004
Status publikacji	Opublikowano - 15 maj 2015

Obszary tematyczne ASJC Scopus

Analiza
Matematyka stosowana

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10.1016/j.jmaa.2015.01.004

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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",

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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

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JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 2

ER -

Characterization of compact geodesic spaces

Abstrakt

Obszary tematyczne ASJC Scopus

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