cantor spaces
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2020 ◽  
Vol 39 (3) ◽  
pp. 277-288
Author(s):  
Emma D'Aniello ◽  
Martina Maiuriello
Keyword(s):  

2016 ◽  
Vol 33 (3) ◽  
pp. 327-340
Author(s):  
Xing Fu Zhong ◽  
Jie Lü

2015 ◽  
Vol 144 (2) ◽  
pp. 651-663
Author(s):  
Casey Donoven ◽  
Kenneth Falconer
Keyword(s):  

2010 ◽  
pp. 214-243
Author(s):  
Togo Nishiura
Keyword(s):  

2009 ◽  
Vol 29 (1) ◽  
pp. 165-177 ◽  
Author(s):  
JOHANNES MÜLLER ◽  
CHRISTOPH SPANDL

AbstractWe prove that general topological dynamical systems on metric Cantor spaces can be embedded into cellular automata defined on Cayley graphs. Furthermore, we prove that it is possible to construct this embedding in such a way that topological entropy is preserved.


2001 ◽  
Vol 66 (3) ◽  
pp. 1303-1320 ◽  
Author(s):  
Jan Kraszewski

AbstractWe define a class of productiveσ-ideals of subsets of the Cantor space 2ω and observe that both σ-ideals of meagre sets and of null sets are in this class. From every productive σ-ideal we produce a σ-ideal of subsets of the generalized Cantor space 2κ. In particular, starting from meagre sets and null sets in 2ω we obtain meagre sets and null sets in 2ω, respectively. Then we investigate additivity, covering number, uniformity and cofinality of . For example, we show thatOur results generalizes those from [5].


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