JP Journal of Algebra, Number Theory and Applications
Volume 40, Issue 5, Pages 685 - 690
(October 2018) http://dx.doi.org/10.17654/NT040050685 |
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PRODUCT OF DISCRETE TOPOLOGICAL SPACES
Hiroyuki Ishibashi
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Abstract: We study the product X of discrete topological spaces and give a necessary and sufficient condition for X to be discrete. Also, as an example of the product of discrete topological spaces we treat the set of configurations of a cellular automaton for the ring of rational integers, the set S of states, the neighborhood N of 0 and the local function f, and show that the product space is a compact metric space. |
Keywords and phrases: cellular automaton, configuration set, discrete topology, product of spaces.
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