scholarly journals Some problems on selections for hyperspace topologies

2004 ◽  
Vol 5 (1) ◽  
pp. 71 ◽  
Author(s):  
Valentin Gutev ◽  
Tsugunori Nogura
Keyword(s):  
Hyperspace Topologies

Infima of hyperspace topologies

Mathematika ◽  
1995 ◽  
Vol 42 (1) ◽  
pp. 67-86 ◽  
Author(s):  
C. Costantini ◽  
S. Levi ◽  
J. Pelant
Keyword(s):  
Hyperspace Topologies

scholarly journals Tightness, character and related properties of hyperspace topologies

2004 ◽  
Vol 142 (1-3) ◽  
pp. 245-292 ◽  
Author(s):  
Camillo Costantini ◽  
Ľubica Holá ◽  
Paolo Vitolo
Keyword(s):  
Hyperspace Topologies

scholarly journals Selection principles and hyperspace topologies

2005 ◽  
Vol 153 (5-6) ◽  
pp. 912-923 ◽  
Author(s):  
G. Di Maio ◽  
Lj.D.R. Kočinac ◽  
E. Meccariello
Keyword(s):  
Selection Principles ◽  
Hyperspace Topologies

Atsuji completions vis-à-vis hyperspaces

2008 ◽  
Vol 58 (4) ◽  
Author(s):  
Tanvi Jain ◽  
S. Kundu
Keyword(s):  
Continuous Function ◽  
Metric Space ◽  
Metrizable Spaces ◽  
Uniformly Continuous ◽  
Hyperspace Topologies

AbstractA metric space (X, d) is called an Atsuji space if every real-valued continuous function on (X, d) is uniformly continuous. It is well-known that an Atsuji space must be complete. A metric space (X, d) is said to have an Atsuji completion if its completion ($$ \hat X $$, d) is an Atsuji space. In this paper, we study twelve equivalent (external) characterizations for a metric space to have an Atsuji completion in terms of hyperspace topologies. We also characterize topologically those metrizable spaces whose completions are Atsuji spaces.

scholarly journals Distance functional and suprema of hyperspace topologies

1992 ◽  
Vol 162 (1) ◽  
pp. 367-381 ◽  
Author(s):  
Gerald Beer ◽  
Alojzy Lechicki ◽  
Sandro Levi ◽  
Somashekhar Naimpally
Keyword(s):  
Hyperspace Topologies
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