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Interaction between cellularity of Alexandroff spaces and entropy of generalized shift maps

Fatemah Ayatollah Zadeh Shirazi;  Sahar Karimzadeh Dolatabad;  Sara Shamloo — 2016

Commentationes Mathematicae Universitatis Carolinae

In the following text for a discrete finite nonempty set K and a self-map ϕ : X → X we investigate interaction between different entropies of generalized shift σ ϕ : K X → K X , ( x α ) α ∈ X ↦ ( x ϕ ( α ) ) α ∈ X and cellularities of some Alexandroff topologies on X .

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