@article{CM_1991__77_2_179_0,
author = {Mrozik, Peter},
title = {Finite-dimensional categorical complement theorems in strong shape theory and a principle of reversing maps between open subsets of spheres},
journal = {Compositio Mathematica},
pages = {179--197},
year = {1991},
publisher = {Kluwer Academic Publishers},
volume = {77},
number = {2},
mrnumber = {1091897},
zbl = {0721.55006},
language = {en},
url = {https://www.numdam.org/item/CM_1991__77_2_179_0/}
}
TY - JOUR AU - Mrozik, Peter TI - Finite-dimensional categorical complement theorems in strong shape theory and a principle of reversing maps between open subsets of spheres JO - Compositio Mathematica PY - 1991 SP - 179 EP - 197 VL - 77 IS - 2 PB - Kluwer Academic Publishers UR - https://www.numdam.org/item/CM_1991__77_2_179_0/ LA - en ID - CM_1991__77_2_179_0 ER -
%0 Journal Article %A Mrozik, Peter %T Finite-dimensional categorical complement theorems in strong shape theory and a principle of reversing maps between open subsets of spheres %J Compositio Mathematica %D 1991 %P 179-197 %V 77 %N 2 %I Kluwer Academic Publishers %U https://www.numdam.org/item/CM_1991__77_2_179_0/ %G en %F CM_1991__77_2_179_0
Mrozik, Peter. Finite-dimensional categorical complement theorems in strong shape theory and a principle of reversing maps between open subsets of spheres. Compositio Mathematica, Tome 77 (1991) no. 2, pp. 179-197. https://www.numdam.org/item/CM_1991__77_2_179_0/
1 , Some relations between shape constructions, Cahiers Topologie Géom. Diff. 19 (1978), 337-367. | Zbl | MR | Numdam
2 and , Realizing strong shape equivalences, J. Pure Appl. Algebra 20 (1981), 129-156. | Zbl | MR
3 , Strong shape theory in: Shape theory and Geometric Topology, (ed. S. Mardešiċ, J. Segal), 215-238 Lecture Notes in Math. 870, Springer, Berlin -Heidelberg-New York 1981. | Zbl | MR
4 and , Strong shape theory, Diss. Math. 192 (1981), 1-42. | Zbl | MR
5 and , Čech and Steenrod homotopy theories with applications to geometric topology, Lecture Notes in Math. 542, Springer, Berlin -Heidelberg-New York 1976. | Zbl | MR
6 and , Stable shape, Lecture given at the Conference on Geometric Topology and Shape Theory, Dubrovnik 1986.
7 and , On fine shape theory, Fund. Math. 105 (1979), 29-39. | Zbl | MR
8 , On the exactness of the spectral homotopy group sequence in shape theory, Soviet Math. Dok. 18 (1977), 1186-1190. | Zbl
9 and , Coherent prohomotopy theory and strong shape of metric compacta, Glasnik Mat. 20 (40) (1985), 159-186. | Zbl | MR
10 and , Shape Theory, North-Holland, Amsterdam 1982. | Zbl | MR
11 , Hereditary shape equivalences and complement theorems, Topology Appl. 22 (1986), 131-137. | Zbl | MR
12 , Chapman's category isomorphism for arbitrary ARs, Fund. Math. 125 (1985), 195-208. | Zbl | MR
13 , Finite-dimensional categorical complement theorems in shape theory, Compositio Math. 68 (1988), 161-173. | Zbl | MR | Numdam
14 , On the relationship between shape properties of subcompacta of Sn and homotopy properties of their complements, Fund. Math. 128 (1987), 47- 59. | Zbl | MR
15 , Homotopical Algebra, Lecture Notes in Math. 43, Springer, Berlin -Heidelberg-New York 1967. | Zbl | MR
16 , Complement theorems in shape theory, in: Shape Theory and Geometric Topology (ed. S. Mardešić, J. Segal), 150-168, Lecture Notes in Math. 870, Springer, Berlin-Heidelberg-New York 1981. | Zbl | MR
17 , Complement theorems in shape theory II, in: Geometric Topology and Shape Theory (ed. S. Mardešić, J. Segal), 212-220, Lecture Notes in Math. 1283, Springer, Berlin-Heidelberg -New York 1987. | Zbl | MR
18 , Algebraic Topology, McGraw-Hill, New York 1966. | Zbl | MR
19 , Algebraic Topology-Homotopy and Homology, Springer, Berlin 1975. | Zbl | MR
20 , Embeddings of compacta in the trivial range, Proc. Amer. Math. Soc. 55 (1976), 443-448. | Zbl | MR
