On the dimension of increments of bicompact extensions of proximity spaces and topological spaces. I

1969 ◽  
pp. 197-217 ◽  
Author(s):  
Ju. M. Smirnov
Keyword(s):  
Topological Spaces ◽  
Proximity Spaces

scholarly journals Focal Function in i-Topological Spaces via Proximity Spaces

2020 ◽  
Vol 1591 ◽  
pp. 012083
Author(s):  
Yiezi Kadham Mahdi Altalkany ◽  
Luay A. A. Al Swidi
Keyword(s):  
Topological Spaces ◽  
Proximity Spaces

scholarly journals operator Proximity in i-Topological Space

2021 ◽  
Vol 12 (1S) ◽  
pp. 679-684
Author(s):  
Yiezi Kadham Mahdi AL Talkany, Et. al.
Keyword(s):  
Topological Space ◽  
Topological Spaces ◽  
Proximity Spaces

another form  of -operator defined in this paper by using employing two pillars they are i-topological spaces and the proximity spaces

scholarly journals New Concepts of Dense set in i-Topological space and Proximity Space

2021 ◽  
Vol 12 (1S) ◽  
pp. 685-690
Author(s):  
Yiezi Kadham Mahdi AL Talkany, Et. al.
Keyword(s):  
Topological Space ◽  
Topological Spaces ◽  
Proximity Space ◽  
New Concepts ◽  
Proximity Spaces ◽  
Dense Set

A new kind of some topological spaces concepts has been defined in i-topological spaces with respect to proximity spaces in our paper.

Merotopic Spaces and Extensions of Closure Spaces

1983 ◽  
Vol 35 (4) ◽  
pp. 613-629 ◽  
Author(s):  
K. C. Chattopadhyay ◽  
Olav Njåstad ◽  
W. J. Thron
Keyword(s):  
Uniform Structure ◽  
Topological Spaces ◽  
Closure Spaces ◽  
Proximity Spaces

Proximity spaces and contiguity spaces, and more recently nearness spaces, have been studied not just because they provide various approaches to uniform structure. Possibly of greater importance is that they can be used as a means of introducing compactifications and more general extensions of the topological spaces on which they are defined. Riesz [20] was probably the first to recognize this connection. Since then the idea was used by Freudenthal [9], Alexandroff [1], Smirnov [21], Leader [17] and Ivanov and Ivanova [13, 14, 15] among others.Recently Reed [19] using work of Bentley [2, 4] and Herrlich [11, 12] studied the 1 – 1 correspondence between the class of all cluster generated nearness spaces and the class all principal T1-extensions of a given T1-space. She succeeded in showing that the mapping induces a 1 – 1 correspondence between the contingual nearness spaces in and the compactifications in .

scholarly journals L-FUZZY TOPOLOGICAL SPACES AND L-FUZZY QUASI-PROXIMITY SPACES

2011 ◽  
Vol 33 (1) ◽  
pp. 27-41
Author(s):  
Eun-Seok Kim ◽  
Seung-Ho Ahn ◽  
Dae-Heui Park
Keyword(s):  
Topological Spaces ◽  
Fuzzy Topological Spaces ◽  
Proximity Spaces
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