Directed weak fibrations
Algebraic Topology
2016-12-14 v2
Abstract
In a previous paper [21] the author studied the homotopy lifting property in the category dTop of directed spaces in the sense of M. Grandis [12], [13], [14]. The present paper, which is a continuation of aforementioned article, introduces and studies the directed weak homotopy property (dWCHP) and directed weak fibrations, extending to the category dTop the well known Dold's (or weak) - fibrations [6]. The dWCHP is characterized in several ways. Then the notion of a directed fibre homotopy equivalence (dFHE) between directed weak fibrations is studied. Some examples and counterexamples are given.
Keywords
Cite
@article{arxiv.1602.07105,
title = {Directed weak fibrations},
author = {Ioan Pop},
journal= {arXiv preprint arXiv:1602.07105},
year = {2016}
}
Comments
23 pages