On Continuous Images of Cantor Spaces

1968 ◽  
Vol 75 (8) ◽  
pp. 869
Author(s):  
W. B. Johnson
Keyword(s):  
Cantor Spaces ◽  
Continuous Images

scholarly journals Some examples of continuous images of Radon-Nikodým compact spaces

2009 ◽  
Vol 59 (4) ◽  
pp. 1027-1038 ◽  
Author(s):  
Alexander D. Arvanitakis ◽  
Antonio Avilés
Keyword(s):  
Compact Spaces ◽  
Continuous Images

scholarly journals Contra-continuous functions and stronglyS-closed spaces

1996 ◽  
Vol 19 (2) ◽  
pp. 303-310 ◽  
Author(s):  
J. Dontchev
Keyword(s):  
Dense Subset ◽  
Continuous Functions ◽  
Closed Space ◽  
Closed Sets ◽  
Open Set ◽  
Locally Closed Sets ◽  
Continuous Images

In 1989 Ganster and Reilly [6] introduced and studied the notion ofLC-continuous functions via the concept of locally closed sets. In this paper we consider a stronger form ofLC-continuity called contra-continuity. We call a functionf:(X,τ)→(Y,σ)contra-continuous if the preimage of every open set is closed. A space(X,τ)is called stronglyS-closed if it has a finite dense subset or equivalently if every cover of(X,τ)by closed sets has a finite subcover. We prove that contra-continuous images of stronglyS-closed spaces are compact as well as that contra-continuous,β-continuous images ofS-closed spaces are also compact. We show that every stronglyS-closed space satisfies FCC and hence is nearly compact.

scholarly journals One-to-one continuous images of a line

1970 ◽  
Vol 67 (3) ◽  
pp. 285-292 ◽  
Author(s):  
F. Jones
Keyword(s):  
One To One ◽  
Continuous Images

scholarly journals On continuous images of ultra-arcs

2019 ◽  
Vol 261 ◽  
pp. 7-21
Author(s):  
Paul Bankston
Keyword(s):  
Continuous Images

Cantor spaces

2010 ◽  
pp. 214-243
Author(s):  
Togo Nishiura
Keyword(s):  
Cantor Spaces

scholarly journals Continuous images of products of separable spaces

1996 ◽  
Vol 72 (1) ◽  
pp. 95-97
Author(s):  
Alessandro Fedeli ◽  
Stephen Watson
Keyword(s):  
Separable Spaces ◽  
Continuous Images
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