scholarly journals Support property of 0-dimensional compact spaces concerning Abelian groups of integer-valued continuous functions

1989 ◽  
Vol 33 (3) ◽  
pp. 235-240
Author(s):  
Katsuya Eda
Keyword(s):  
Abelian Groups ◽  
Continuous Functions ◽  
Compact Spaces ◽  
Support Property

scholarly journals Subcontra-continuous functions

1998 ◽  
Vol 21 (1) ◽  
pp. 19-23 ◽  
Author(s):  
C. W. Baker
Keyword(s):  
Weak Form ◽  
Continuous Functions ◽  
Compact Spaces

A weak form of contra-continuity, called subcontra-continuity, is introduced. It is shown that subcontra-continuity is strictly weaker than contra-continuity and stronger than both subweak continuity and sub-LC-continuity. Subcontra-continuity is used to improve several results in the literature concerning compact spaces.

scholarly journals Abelian groups of continuous functions and their duals

1993 ◽  
Vol 53 (2) ◽  
pp. 131-151 ◽  
Author(s):  
Katsuya Eda ◽  
Shizuo Kamo ◽  
Haruto Ohta
Keyword(s):  
Abelian Groups ◽  
Continuous Functions

scholarly journals rc-continuous functions and functions with rc-strongly closed graph

2003 ◽  
Vol 2003 (72) ◽  
pp. 4547-4555
Author(s):  
Bassam Al-Nashef
Keyword(s):  
Continuous Function ◽  
Topological Space ◽  
Continuous Functions ◽  
Closed Graph ◽  
Compact Spaces ◽  
Extremally Disconnected ◽  
The Family ◽  
Regular Closed

The family of regular closed subsets of a topological space is used to introduce two concepts concerning a functionffrom a spaceXto a spaceY. The first of them is the notion offbeing rc-continuous. One of the established results states that a spaceYis extremally disconnected if and only if each continuous function from a spaceXtoYis rc-continuous. The second concept studied is the notion of a functionfhaving an rc-strongly closed graph. Also one of the established results characterizes rc-compact spaces (≡S-closed spaces) in terms of functions that possess rc-strongly closed graph.

scholarly journals Projective free algebras of continuous functions on compact abelian groups

2010 ◽  
Vol 259 (4) ◽  
pp. 918-932 ◽  
Author(s):  
Alex Brudnyi ◽  
Leiba Rodman ◽  
Ilya M. Spitkovsky
Keyword(s):  
Abelian Groups ◽  
Continuous Functions ◽  
Free Algebras ◽  
Compact Abelian Groups
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