Bornology and duality in locally $ \mathbb K $-convex sequential spaces

2021 ◽  
Vol Accepted ◽  
Author(s):  
A. Razouki ◽  
M. Babahmed ◽  
Abdelkhalek El Amrani ◽  
R. A. Hassani
Keyword(s):  
2008 ◽  
Vol 54 (2) ◽  
pp. 145-152 ◽  
Author(s):  
Gonçalo Gutierres
Keyword(s):  

1990 ◽  
Vol 134 (2) ◽  
pp. 117-123
Author(s):  
Peg Daniels
Keyword(s):  

1991 ◽  
Vol 56 (2) ◽  
pp. 753-755
Author(s):  
Judith Roitman

2004 ◽  
Vol 2004 (22) ◽  
pp. 1169-1177
Author(s):  
Bhamini M. P. Nayar

A sequential space(X,T)is called minimal sequential if no sequential topology onXis strictly weaker thanT. This paper begins the study of minimal sequential Hausdorff spaces. Characterizations of minimal sequential Hausdorff spaces are obtained using filter bases, sequences, and functions satisfying certain graph conditions. Relationships between this class of spaces and other classes of spaces, for example, minimal Hausdorff spaces, countably compact spaces, H-closed spaces, SQ-closed spaces, and subspaces of minimal sequential spaces, are investigated. While the property of being sequential is not (in general) preserved by products, some information is provided on the question of when the product of minimal sequential spaces is minimal sequential.


1976 ◽  
Vol 66 (1) ◽  
pp. 281-284 ◽  
Author(s):  
R. Sirois-Dumais ◽  
Stephen Willard
Keyword(s):  

Sign in / Sign up

Export Citation Format

Share Document