A Galois Correspondence for Digital Topology

2004 ◽  
pp. 413-424 ◽  
Author(s):  
J. Šlapal
Keyword(s):  
Digital Topology ◽  
Galois Correspondence

Digital Topology

2003 ◽  
pp. 428-432
Author(s):  
T. Yung Kong ◽  
Ralph Kopperman
Keyword(s):  
Digital Topology

scholarly journals Remarks on topological spaces on $ {\mathbb Z}^n $ which are related to the Khalimsky $ n $-dimensional space

2021 ◽  
Vol 7 (1) ◽  
pp. 1224-1240
Author(s):  
Sang-Eon Han ◽  
◽  
Saeid Jafari ◽  
Jeong Min Kang ◽  
Sik Lee ◽  
...  
Keyword(s):  
Crucial Role ◽  
Dimensional Space ◽  
Digital Topology ◽  
Topological Spaces ◽  
Khalimsky Topology

<abstract><p>The present paper intensively studies various properties of certain topologies on the set of integers $ {\mathbb Z} $ (resp. $ {\mathbb Z}^n $) which are either homeomorphic or not homeomorphic to the typical Khalimsky line topology (resp. $ n $-dimensional Khalimsky topology). This finding plays a crucial role in addressing some problems which remain open in the field of digital topology.</p></abstract>

The Galois correspondence

Galois Theory ◽  
1989 ◽  
pp. 104-107
Author(s):  
Ian Stewart
Keyword(s):  
Galois Correspondence
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