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).
Published Version
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
