Coherent functors in stable homotopy theory
Fundamenta Mathematicae (2002)
- Volume: 173, Issue: 1, page 33-56
- ISSN: 0016-2736
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topHenning Krause. "Coherent functors in stable homotopy theory." Fundamenta Mathematicae 173.1 (2002): 33-56. <http://eudml.org/doc/282827>.
@article{HenningKrause2002,
abstract = {Coherent functors 𝓢 → Ab from a compactly generated triangulated category into the category of abelian groups are studied. This is inspired by Auslander's classical analysis of coherent functors from a fixed abelian category into abelian groups. We characterize coherent functors and their filtered colimits in various ways. In addition, we investigate certain subcategories of 𝓢 which arise from families of coherent functors.},
author = {Henning Krause},
journal = {Fundamenta Mathematicae},
keywords = {coherent functor; compactly generated category; compact object; homology colimit; CW-spectra},
language = {eng},
number = {1},
pages = {33-56},
title = {Coherent functors in stable homotopy theory},
url = {http://eudml.org/doc/282827},
volume = {173},
year = {2002},
}
TY - JOUR
AU - Henning Krause
TI - Coherent functors in stable homotopy theory
JO - Fundamenta Mathematicae
PY - 2002
VL - 173
IS - 1
SP - 33
EP - 56
AB - Coherent functors 𝓢 → Ab from a compactly generated triangulated category into the category of abelian groups are studied. This is inspired by Auslander's classical analysis of coherent functors from a fixed abelian category into abelian groups. We characterize coherent functors and their filtered colimits in various ways. In addition, we investigate certain subcategories of 𝓢 which arise from families of coherent functors.
LA - eng
KW - coherent functor; compactly generated category; compact object; homology colimit; CW-spectra
UR - http://eudml.org/doc/282827
ER -
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