Projective (Inverse) Limits of Topological Spaces

1997 ◽  
pp. 134-136
Author(s):  
Krzysztof Maurin
Keyword(s):  
Topological Spaces ◽  
Inverse Limits

Localic triquotient maps are effective descent maps

1997 ◽  
Vol 122 (1) ◽  
pp. 17-43 ◽  
Author(s):  
TILL PLEWE
Keyword(s):  
Natural Generalization ◽  
Constructive Proof ◽  
Topological Spaces ◽  
Inverse Limits

Triquotient maps of topological spaces were introduced by E. Michael as a natural generalization of both open and proper surjections. We introduce the notion of localic triquotient map. Our main result is that localic triquotient maps are effective descent maps. This generalizes the corresponding results for proper surjections (J. Vermeulen) and open surjections (A. Joyal and M. Tierney). Further results concern stability of triquotiency under various operations, for instance, arbitrary products and filtered (inverse) limits. Among the applications are a new constructive proof of Tychonoff's theorem, and a new result on stability of open surjections under filtered limits.

scholarly journals Inverse limits and mappings of minimal topological spaces

1977 ◽  
Vol 71 (2) ◽  
pp. 429-448 ◽  
Author(s):  
Louis Friedler ◽  
Dix Pettey
Keyword(s):  
Topological Spaces ◽  
Inverse Limits

ON ir-CLOSED SETS IN TOPOLOGICAL SPACES

2020 ◽  
Vol 9 (5) ◽  
pp. 2573-2582
Author(s):  
A. M. Anto ◽  
G. S. Rekha ◽  
M. Mallayya
Keyword(s):  
Topological Spaces ◽  
Closed Sets

ON A NEW CLASS OF SEMI GENERALIZED CLOSED SETS IN STRONG GENERALIZED TOPOLOGICAL SPACES

2020 ◽  
Vol 9 (11) ◽  
pp. 9353-9360
Author(s):  
G. Selvi ◽  
I. Rajasekaran
Keyword(s):  
Topological Spaces ◽  
Closed Set ◽  
Basic Properties ◽  
Closed Sets ◽  
New Class ◽  
Open Set ◽  
Continuous Maps

This paper deals with the concepts of semi generalized closed sets in strong generalized topological spaces such as $sg^{\star \star}_\mu$-closed set, $sg^{\star \star}_\mu$-open set, $g^{\star \star}_\mu$-closed set, $g^{\star \star}_\mu$-open set and studied some of its basic properties included with $sg^{\star \star}_\mu$-continuous maps, $sg^{\star \star}_\mu$-irresolute maps and $T_\frac{1}{2}$-space in strong generalized topological spaces.

Sign in / Sign up

Export Citation Format

Share Document