The G-Spaces of Busemann

William Kirk and Naseer Shahzad
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William Kirk: University of Iowa, Department of Mathematics
Naseer Shahzad: King Abdulaziz University, Department of Mathematics

Chapter Chapter 8 in Fixed Point Theory in Distance Spaces, 2014, pp 61-64 from Springer

Abstract: Abstract Here we digress somewhat, although fixed point theory in geodesic spaces is an important underlying factor. A finitely compact (recall, this means bounded closed sets are compact) geodesically connected (metrically convex) metric space R , d $$\left (R,d\right )$$ which has the geodesic extension property (see Definition 9.3 below) and for which such extension is unique is called a G-space G-space .

Keywords: Fundamental Group; Proper Subgroup; Covering Space; Geodesic Segment; Transitive Group (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1007/978-3-319-10927-5_8

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