Digital <i>h</i>-Fibrations and Some New Results on Digital Fibrations

In this work, the notion of digital fiber homotopy is defined and its properties are given. We present some new results on digital fibrations. Moreover, we introduce digital <i>h</i>-fibrations. We prove some of the properties of these digital <i>h</i>-fibrations. We show tha...

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Bibliographic Details
Main Authors: Talip Can Termen, Ozgur Ege
Format: Article
Language:English
Published: MDPI AG 2024-03-01
Series:Axioms
Subjects:
Online Access:https://www.mdpi.com/2075-1680/13/3/180
Description
Summary:In this work, the notion of digital fiber homotopy is defined and its properties are given. We present some new results on digital fibrations. Moreover, we introduce digital <i>h</i>-fibrations. We prove some of the properties of these digital <i>h</i>-fibrations. We show that a digital fibration and a digital map <i>p</i> are fiber homotopic equivalent if and only if <i>p</i> is a digital h-fibration. Finally, we explore a relation between digital fibrations and digital <i>h</i>-fibrations.
ISSN:2075-1680