Left properness of flows - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Theory and Applications of Categories Année : 2021

Left properness of flows

Résumé

Using Reedy techniques, this paper gives a correct proof of the left properness of the q-model structure of flows. It fixes the preceding proof which relies on an incorrect argument. The last section is devoted to fix some arguments published in past papers coming from this incorrect argument. These Reedy techniques also enable us to study the interactions between the path space functor of flows with various notions of cofibrations. The proofs of this paper are written to work with many convenient categories of topological spaces like the ones of k-spaces and of weakly Hausdorff k-spaces and their locally presentable analogues, the Δ-generated spaces and the Δ-Hausdorff Δ-generated spaces.
Fichier principal
Vignette du fichier
LeftProperFlow.pdf (778.94 Ko) Télécharger le fichier
Origine : Fichiers éditeurs autorisés sur une archive ouverte

Dates et versions

hal-02324169 , version 1 (28-09-2021)

Identifiants

Citer

Philippe Gaucher. Left properness of flows. Theory and Applications of Categories, 2021, 37 (19), pp.562-612. ⟨hal-02324169⟩
30 Consultations
28 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More