Functors between homotopy theories

Luciano Stramaccia

Cahiers de Topologie et Géométrie Différentielle Catégoriques (1990)

  • Volume: 31, Issue: 2, page 169-178
  • ISSN: 1245-530X

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Stramaccia, Luciano. "Functors between homotopy theories." Cahiers de Topologie et Géométrie Différentielle Catégoriques 31.2 (1990): 169-178. <http://eudml.org/doc/91456>.

@article{Stramaccia1990,
author = {Stramaccia, Luciano},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {reflector; coreflector; categories; cylinder functor; subcategories; cofibrations; weak equivalences; fundamental groupoid},
language = {eng},
number = {2},
pages = {169-178},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {Functors between homotopy theories},
url = {http://eudml.org/doc/91456},
volume = {31},
year = {1990},
}

TY - JOUR
AU - Stramaccia, Luciano
TI - Functors between homotopy theories
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 1990
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 31
IS - 2
SP - 169
EP - 178
LA - eng
KW - reflector; coreflector; categories; cylinder functor; subcategories; cofibrations; weak equivalences; fundamental groupoid
UR - http://eudml.org/doc/91456
ER -

References

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  1. 1 Baues H.J., Algebraic Homotopy. Cambridge University Press1989. Zbl0688.55001MR985099
  2. 2 Brown K., Abstract homotopy theories and generalized sheaf cohomology. Trans. A. M. S.186 (1973),419-445. Zbl0245.55007MR341469
  3. 3 Gabriel P.& Zisman M., Calculus of fractions and homotopy theory. Springer1967. Zbl0186.56802MR210125
  4. 4 Kamps K.H.Zur Homotopietheorie von gruppoiden. Arch. Math.23 (1972), 610-618. Zbl0251.20059MR315022
  5. 5 Kamps K.H., Fundamentalgruppoid und Homotopien, Arch. Math.24 (1973). 456-460. Zbl0275.20102MR339145
  6. 6 Kamps K.H. & Porter T.Abstract homotopy and simple homotopy theory. Univ. Col. N. W. Pure Math. Preprints9. 1986. Zbl0890.55014MR1464944
  7. 7 Mardešic S. & Segal J., Shape Theory. North Holland1980. Zbl0495.55001MR676973
  8. 8 Porter T., On the two definitions of Ho(Pro(C)). Top. and Appl.28 (1988), 289-293. Zbl0647.18008MR931529
  9. 9 Quillen D., Homotopical Algebra. Lecture Notes in Math.45. Springer1967. Zbl0168.20903MR223432
  10. 10 Schwarz H.Product compatible reflectors and exponentiability, Proc. Int. Conf. Categorical Topology. Toledo1983. Heldermann1984. 505-522. Zbl0553.18004MR785032
  11. 11 Stramaccia L.Reflective subcategories and dense subcategories. Rend. Sem. Mat. Univ. Padova67 (1982). 191-198. Zbl0528.18002MR682712
  12. 12 Stramaccia L.Homotopy preserving functors. Cahiers Top. & Géom. Diff. Cat. XXIX-4 (1988), 287-295. Zbl0672.55005MR991204

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