Essential concepts of digital topology (digital k-covering spaces and pseudo k-covering spaces)
Abstract
The present paper focuses on the notions of covering spaces, pseudo-covering spaces, and their equivalences. We discuss something incorrectly mentioned in Boxer's papers and correct them. Indeed, Sections 4-6 (or 4-6) of B3 are redundant because they have some incorrect assertions on (k1,k2)-covering spaces or pseudo- (k1,k2)-covering spaces due to his misunderstanding on Han's papers H14,H16. In addition, many things in B3 are duplicated with some results in H18. In addition, since the papers P1,P2 also have some defects, we correct and improve them.
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