Affiliation:
1. Department of Mathematics Education, Institute of Pure and Applied Mathematics, Jeonbuk National University, Jeonju-City Jeonbuk, Republic of Korea
Abstract
After investigating some properties of the original version of a pseudo-(k0,
k1)-covering space in the literature, it appears that a pseudo-(k0,
k1)-covering space is equivalent to a digital (k0, k1)-covering space.
Hence, as a corrigendum to [7, 9], the paper first revises one of the three
conditions for a pseudo-(k0, k1)-covering space, which broadens the
original version. After that, we suggest some examples for the revised
version of a pseudo-(k0, k1)-covering map. Since the revised map is so
related to the study of several kinds of path liftings, this new version can
facilitate some studies in the field of applied topology including digital
topology. We note that a weakly local (k0, k1)-isomorphic surjection is
equivalent to the new version of a pseudo-(k0, k1)-covering map instead of
the original version of a pseudo-(k0, k1)-covering map. The present paper
only deals with k-connected digital images (X, k).
Publisher
National Library of Serbia
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