205398
20181203023753.0
0010-0757
ISI
000347246500008
doi
10.1007/s13348-013-0102-7
ARTICLE
Conditionally flat functors on spaces and groups
2015
Milan
Springer-Verlag Italia Srl
2015
12
Journal Articles
Consider a fibration sequence of topological spaces which is preserved as such by some functor , so that is again a fibration sequence. Pull the fibration back along an arbitrary map into the base space. Does the pullback fibration enjoy the same property? For most functors this is not to be expected, and we concentrate mostly on homotopical localization functors. We prove that the only homotopical localization functors which behave well under pull-backs are nullifications. The same question makes sense in other categories. We are interested in groups and how localization functors behave with respect to group extensions. We prove that group theoretical nullification functors behave nicely, and so do all epireflections arising from a variety of groups.
Localization
Flatness
Fiberwise localization
Variety of groups
Farjoun, Emmanuel Dror
Hebrew Univ Jerusalem Gigat Ram, Einstein Inst Math, IL-91904 Jerusalem, Israel
Scherer, Jerome
66
1
149-160
Collectanea Mathematica
252139
UPHESS
U10968
oai:infoscience.tind.io:205398
SV
article
144617
EPFL-ARTICLE-205398
EPFL
REVIEWED
PUBLISHED
ARTICLE