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Connections between connected topological spaces on the set of positive integers

โœ Scribed by Szczuka, Paulina

Book ID
120498802
Publisher
Walter de Gruyter GmbH
Year
2013
Tongue
English
Weight
930 KB
Volume
11
Category
Article
ISSN
2391-5455

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๐Ÿ“œ SIMILAR VOLUMES

The Khalimsky topologies are precisely t
The Khalimsky topologies are precisely those simply connected topologies on Zn whose connected sets include all 2n-connected sets but no (3nโˆ’1)-disconnected sets
โœ T.Yung Kong ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 270 KB

We give a proof of the result stated in the title. Here the concepts of 2n-and (3 n -1)-(dis)connected sets are the natural generalizations to Z n of the standard concepts of 4-and 8-(dis)connected sets in 2D digital topology. Suppose we have an n-dimensional scanner that digitizes n-dimensional ob