Keywords
- Spectral Sequence
- Homotopy Type
- Inverse Limit
- Homotopy Theory
- Admissible Pair
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
M. Andre, Methode Simpliciale en Algebra homologique et Algebra Commutative. Lecture Notes in Math. 32 (1967) Springer-Verlag.
A. Bousfield, D.Kan, “Homotopy limits, completions and localizations. Lecture notes in Math. No. 304 (1972), Springer-Verlag.
G. Bredon, “Equivariant cohomology theories”. Lecture Notes in Math. No. 34 (1967), Springer-Verlag.
T. Brocker, Singulare Definition der Aquivarianten Bredon homology”. Manuscripta Math. 5 (1971), p. 91–102. Springer-Verlag.
E. Dror Farjoun, A. Zabrodsky, “Homotopy equivalences between diagrams of spaces:. J. of pure and applied algebra, 41 (1986), pp. 169–182.
—: The equivariant homotopy spectral sequence. Proceeding Barcelona Conference. Springer Verlag (to appear).
E. Dror Farjoun: “Homotopy theories for diagrams of spaces”. Proceeding A.M.S. (to appear).
W.G. Dwyer and D.M. Kan, “Function complexes in homotopical algebra”. Topology 19 (1980) pp. 427–440.
—: “An obstruction theory for diagrams of simplicial sets”. Proc. Kon. Akad. van Wetensch. A87=Ind. Math. 46 (1984), pp. 139–146.
—: “Singular functors and realization functors”. Proc. Kon. Akad. van Wetensch. A87=Ind. Math. 46 (1984).
—: Equivariant homotopy classification, J.of Pure and Appl. Alg. 35 (1985), pp. 269–285.
—: Function complexes for diagrams of simplicial sets. Proc. Kan. Akad. van Wetensch. A86-Ind. Math. 45 (1983).
A.D. Elmendorf, “Systems of fixed point sets”, Trans. A.M.S. 277, (1983), pp. 275–284.
U. Hommel, “Singulare algebraische topologie for D-raume” Thesis, Univ. of Heidelberg, 1985.
S. Illman, “Equivariant singular homology and cohomology I”, Memoris A.M.S.No. 156, (1975).
MacLane, “Categories for the working Mathematician”. Grad. Text in Math. #5 (1971) Springer-Verlag.
J.P. May, “Equivariant homotopy and cohomology theory”, Contemporary Mathematics 12 (1981), pp. 209–217, A.M.S.
H. Miller, “The Sullivan fixed point conjecture on maps from classifying spaces,” Ann. of Math. 120 (1984), pp. 39–87.
G. Segal, “Equivariant stable homotopy theory.” Actes Congress Intern. Math. 1970 Tom 2 pp. 59–63.
D. G. Quillen, “Homotopical algebra”. Lecture Notes in Math. 43 (1967), Springer Verlag.
C. Watts, “A homology theory for small categories”. Proceedings of Conference on Categorical algebra, La Jolla, (1965), Springer Verlag.
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1987 Springer-Verlag
About this paper
Cite this paper
Farjoun, E.D. (1987). Homotopy and homology of diagrams of spaces. In: Miller, H.R., Ravenel, D.C. (eds) Algebraic Topology. Lecture Notes in Mathematics, vol 1286. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0078739
Download citation
DOI: https://doi.org/10.1007/BFb0078739
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-18481-2
Online ISBN: 978-3-540-47986-4
eBook Packages: Springer Book Archive
