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arXiv.org e-Print Archive
Preprint . 2010
Data sources: arXiv.org e-Print Archive
https://dx.doi.org/10.48550/ar...
Article . 2010
License: arXiv Non-Exclusive Distribution
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The HELP-Lemma and its converse in Quillen model categories

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2010Embargo end date: 01 Jan 2010Publisher:arXiv
Authors: Vogt, R. M.;

doi: 10.48550/arxiv.1004.5249

arXiv: 1004.5249

The HELP-Lemma and its converse in Quillen model categories

Abstract

We show that a map between fibrant objects in a closed model category is a weak equivalence if and only if it has the right homotopy extension lifting property with respect to all cofibrations. The dual statement holds for maps between cofibrant objects.

5 pages

Keywords

FOS: Mathematics, Algebraic Topology (math.AT), 55U35, 55P05, 55P10, 55P30, Mathematics - Algebraic Topology

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
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