@article{CTGDC_1996__37_3_179_0, author = {Hoffman, Jerome William}, title = {Heller's axioms for homotopy theory}, journal = {Cahiers de Topologie et G\'eom\'etrie Diff\'erentielle Cat\'egoriques}, pages = {179--255}, publisher = {Dunod \'editeur, publi\'e avec le concours du CNRS}, volume = {37}, number = {3}, year = {1996}, mrnumber = {1409680}, zbl = {0866.55022}, language = {en}, url = {http://www.numdam.org/item/CTGDC_1996__37_3_179_0/} }
TY - JOUR AU - Hoffman, Jerome William TI - Heller's axioms for homotopy theory JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques PY - 1996 SP - 179 EP - 255 VL - 37 IS - 3 PB - Dunod éditeur, publié avec le concours du CNRS UR - http://www.numdam.org/item/CTGDC_1996__37_3_179_0/ LA - en ID - CTGDC_1996__37_3_179_0 ER -
%0 Journal Article %A Hoffman, Jerome William %T Heller's axioms for homotopy theory %J Cahiers de Topologie et Géométrie Différentielle Catégoriques %D 1996 %P 179-255 %V 37 %N 3 %I Dunod éditeur, publié avec le concours du CNRS %U http://www.numdam.org/item/CTGDC_1996__37_3_179_0/ %G en %F CTGDC_1996__37_3_179_0
Hoffman, Jerome William. Heller's axioms for homotopy theory. Cahiers de Topologie et Géométrie Différentielle Catégoriques, Tome 37 (1996) no. 3, pp. 179-255. http://www.numdam.org/item/CTGDC_1996__37_3_179_0/
[1] Axiomatic homotopy theory, Algebraic Topology Waterloo 1978, Lecture Notes in Math. 741, Springer-Verlag, Berlin, New York (1979), 520-547. | MR | Zbl
,[2] Algebraic homotopy, Cambridge University Press, 1989. | MR | Zbl
,[3] On PL and de Rham theory and rational homotopy type, Memoirs of the American Mathematical Society 179, 1976. | MR | Zbl
and ,[4] Homotopy limits, completions and localizations, Lecture Notes in Math. 304, Springer-Verlag, Berlin, New York, 1973. | MR | Zbl
and ,[5] Abstract homotopy theory and generalized sheaf cohomology, Trans. Amer. Math. Soc. 186 (1973), 419-458. | MR | Zbl
,[6] Quillen closed model structures for sheaves, J. Pure and Appl. Algebra 101, (1995), 35 - 57. | MR | Zbl
,[7] Cĕch and Steenrod homotopy theories with applications to geometric topology, Lecture Notes in Math. 542, Springer Verlag, Berlin, New York, 1976. | MR | Zbl
and ,[8] Calculus of fractions and homotopy theory, Ergrbnisse der Mathematik und ihrer Grenzgebiete Bd. 35, Springer-Verlag, 1967. | MR | Zbl
and ,[9] Sur quelques points d'algebre homologique, Tohoku Math. J. 9 (1957), 119 -221. | MR | Zbl
,[10] On the theory and application of differential torsion products, Memoirs of the American Mathematical Society 142, 1974. | MR | Zbl
and ,[11] Homotopy theories, Memoirs of the American Mathematical Society 383, 1988. | MR | Zbl
,[12] On c.s.s complexes, Am. J. of Math. 79 (1957), 449 -476. | MR | Zbl
,[13] Functorial semantics of algebraic theories, Proc. Nat. Acad. Sci. USA 52 (1963), 869-873. | MR | Zbl
,[14] Simplicial objects in algebraic topology, Van Nostrand Inc., Prince-ton, 1967. | MR | Zbl
,[15] Homotopical algebra, Lecture Notes in Math. 43, Springer-Verlag, Berlin, New York, 1967. | MR | Zbl
,[16] -, Rational homotopy theory, Ann. of Math. 90 (1969), 205-295. | MR | Zbl
[17] Homotopy theory of model categories, unpublished, 1979?
,[18] Categories and cohomology theories, Topology 13 (1974), 293-312. | MR | Zbl
,[19] Kategorien I, II, Heidelberger Taschenbücher, Springer-Verlag, 1970. | MR | Zbl
,[20] Milgram's classifying space of a topological group, Topology 7 (1968), 132-152. | MR | Zbl
,[21] Homotopy limits and colimits, Math. Zeitsschrift 134 (1973), 11-52. | MR | Zbl
,[22] Elements of homotopy theory, Graduate Texts in Mathematics 61, Springer - Verlag, 1978. | MR | Zbl
,