The relation between homotopy limits and Bauer's shape singular complex
Cahiers de Topologie et Géométrie Différentielle Catégoriques (1989)
- Volume: 30, Issue: 2, page 157-165
- ISSN: 1245-530X
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topThiemann, Hanns. "The relation between homotopy limits and Bauer's shape singular complex." Cahiers de Topologie et Géométrie Différentielle Catégoriques 30.2 (1989): 157-165. <http://eudml.org/doc/91436>.
@article{Thiemann1989,
author = {Thiemann, Hanns},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {compact metric space; homotopy limit; (strong) shape singular complex; weak homotopy equivalence; strong shape equivalent},
language = {eng},
number = {2},
pages = {157-165},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {The relation between homotopy limits and Bauer's shape singular complex},
url = {http://eudml.org/doc/91436},
volume = {30},
year = {1989},
}
TY - JOUR
AU - Thiemann, Hanns
TI - The relation between homotopy limits and Bauer's shape singular complex
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 1989
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 30
IS - 2
SP - 157
EP - 165
LA - eng
KW - compact metric space; homotopy limit; (strong) shape singular complex; weak homotopy equivalence; strong shape equivalent
UR - http://eudml.org/doc/91436
ER -
References
top- 1 F.W. Bauer, A shape theory with singular homology, Pacific J. Math.64 (1976), 25-65. Zbl0346.55014MR436130
- 2 F.W. Bauer, Duality in manifolds, Ann. di Mate. pura ed appl.136 (1984), 241-302. Zbl0564.55001MR765925
- 3 A.K. Bousfield & D.M. Kan, Homotopy limits, completions and localizations, Lecture Notes in Math.304, Springer (1972). Zbl0259.55004MR365573
- 4 F.W. Cathey, Strong shape theory, Lecture Notes in Math.870, Springer (1981), 215-238. Zbl0473.55011MR643532
- 5 D.A. Edwards & R. Geoghegan, Shapes of complexes, ends of manifolds, homotopy limits and the Wall obstruction, Ann. of Math.101 (1975), 521-535. Correction 104 (1976), 389. Zbl0334.57007MR375330
- 6 D.A. Edwards & H.M. Hastings, Cech and Steenrod homotopy theories with applications to geometric topology, Lecture Notes in Math.542, Springer (1976). Zbl0334.55001MR428322
- 7 A. Koyama, Coherent singular complexes in strong shape theory, Tsukuba J. Math.8-2 (1984), 261-293. Zbl0564.55007MR767961
- 8 Yu T. Lisica, Strong shape theory and Steenrod-Sitnikov homology (Russian), Sibirski Mat. Z.24 (1983), 81-99. Zbl0527.55015MR713586
- 9 G.W. Whitehead, Elements of Homotopy Theory, Berlin1978. Zbl0406.55001MR516508
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