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Shifts on zero-dimensional compact metric spaces.

Gutek, A.
; 
Moshokoa, S.P.
; 
Rajagopalan, M.
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Abstract
It is shown that every compact zero-dimensional metric space X with either no isolated points or infinitely many isolated points has a complex shift. If X is a disjoint union of a compact infinite scattered metric space and the Cantor set then X has a real shift also. If X is a disjoint union of a nonempty finite scattered metric space and the Cantor set then X has no shift.
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Date
2013-09-13
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Publisher
Elsevier
Collections
Department of Mathematics and Statistics - Research Articles
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Moshokoa 48.pdf
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Keywords
Shift, Cantor set, Primitive shift, Scattered space
Citation
URI
https://hdl.handle.net/20.500.14519/1102
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