Characterizing shapes of compacta

Author:
T. A. Chapman

Journal:
Bull. Amer. Math. Soc. **78** (1972), 847-851

MSC (1970):
Primary 5540; Secondary 5478

DOI:
https://doi.org/10.1090/S0002-9904-1972-13057-X

MathSciNet review:
0300251

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**1.**R. D. Anderson,*Topological properties of the Hilbert cube and the infinite product of open intervals*, Trans. Amer. Math. Soc. 126 (1967), 200-216. MR 34 # 5045. MR**205212****2.**R. D. Anderson,*Point-like decompositions of the Hilbert cube*(in preparation).**3.**W. A. Blankinship,*Generalization of a construction of Antoine*, Ann. of Math. (2) 53 (1951), 276-297. MR 12, 730. MR**40659****4.**K. Borsuk,*Concerning homotopy properties of compacta*, Fund. Math. 62 (1968), 223-254. MR 37 # 4811. MR**229237****5.**K. Borsuk,*Concerning the notion of the shape of compacts*, Proc. Internat. Sympos. On Topology and its Applications, Herceg Novi, 1968.**6.**T. A. Chapman,*On some applications of infinite-dimensional manifolds to the theory of shape*, Fund. Math. (to appear). MR**320997****7.**T. A. Chapman,*Some results on shape and fundamental absolute retracts*, Bull. Acad. Polon. (to appear). MR**309059****8.**T. A. Chapman,*Shapes of some decomposition spaces*, Bull. Acad. Polon. (to appear). MR**313989****9.**T. A. Chapman,*Shapes of finite-dimensional compacta*, Fund. Math. (to appear). MR**320998****10.**D. W. Henderson,*Applications of finite-dimensional manifolds to quotient spaces of complete*ANR's, Bull. Acad. Polon. (to appear).**11.**V. L. Klee,*Some topological properties of convex sets*, Trans. Amer. Math. Soc. 78 (1955), 30-45. MR 16, 1030. MR**69388****12.**S. Mardesic,*On the shape of the quotient space S*, Bull. Acad. Polon. 19 (1971). MR**309044****13.**S. Mardesic and J. Segal,*Shapes of compacta and ANR-systems*, Fund. Math. 72 (1971), 57-75. MR**298634**

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DOI:
https://doi.org/10.1090/S0002-9904-1972-13057-X