Note on homotopy pullbacks in abelian categories

Thomas Müller

Cahiers de Topologie et Géométrie Différentielle Catégoriques (1983)

  • Volume: 24, Issue: 2, page 193-202
  • ISSN: 1245-530X

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Müller, Thomas. "Note on homotopy pullbacks in abelian categories." Cahiers de Topologie et Géométrie Différentielle Catégoriques 24.2 (1983): 193-202. <http://eudml.org/doc/91326>.

@article{Müller1983,
author = {Müller, Thomas},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {Kan-conditions; enriched over category of groupoids; homotopy pullback; homotopy pushout; Abelian categories; chain complexes; cube theorems; dual cube theorems},
language = {eng},
number = {2},
pages = {193-202},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {Note on homotopy pullbacks in abelian categories},
url = {http://eudml.org/doc/91326},
volume = {24},
year = {1983},
}

TY - JOUR
AU - Müller, Thomas
TI - Note on homotopy pullbacks in abelian categories
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 1983
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 24
IS - 2
SP - 193
EP - 202
LA - eng
KW - Kan-conditions; enriched over category of groupoids; homotopy pullback; homotopy pushout; Abelian categories; chain complexes; cube theorems; dual cube theorems
UR - http://eudml.org/doc/91326
ER -

References

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  1. 1 H.B. Brinkmann & D. Puppe, Abelsche und exakte Kategorien, Korrespondenzen, Lecture Notes in Math.96, Springer (1969). Zbl0186.02801MR269713
  2. 2 K.H. Kamps, Kan-Bedingungen und abstrakteHomotopietheorie, Math. Z.124 (1972), 215- 236. Zbl0223.55020MR295346
  3. 3 K.H. Kamps, Fundamentalgruppoid und Homotopien, Arch. Math.24 (1973), 456 Zbl0275.20102MR339145
  4. 4 K.H. Kamps, Note on normal sequences of chain complexes, Colloq. Math.39 (1978), 225- 227. Zbl0403.55001MR522360
  5. 5 K.H. Kamps, On a sequence of K. A. Hardie, Cahiers Top. et Géom. Diff. XIX-2 (1978), 147- 154. Zbl0389.55013MR528343
  6. 6 M. Mather& M. Walker, Commuting homotopy limits and colimits, Math. Z.175 (1980), 77-80. Zbl0447.55004MR595633
  7. 7 Th. Muller, Zur Theorie der Würfelsätze, Dissertation, Hagen1982. 
  8. 8 Y.L. Wong, Chain homotopy pullbacks and pushouts, Cahiers Top. et Géom. Diff. XXIII-3 (1982), 269- 278. Zbl0503.55014MR675338

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