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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(online) ISSN 0273-0979(print)

 

A theory of proper shape for locally compact metric spaces


Authors: B. J. Ball and R. B. Sher
Journal: Bull. Amer. Math. Soc. 79 (1973), 1023-1026
MSC (1970): Primary 55D99; Secondary 54E45, 54D35, 54F40
MathSciNet review: 0334139
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  • 1. Karol Borsuk, Concerning homotopy properties of compacta, Fund. Math. 62 (1968), 223–254. MR 0229237 (37 #4811)
  • 2. Karol Borsuk, Concerning the notion of the shape of compacta, Proc. Internat. Sympos. on Topology and its Applications (Herceg-Novi, 1968), Savez Društava Mat. Fiz. i Astronom., Belgrade, 1969, pp. 98–104. MR 0275381 (43 #1138)
  • 3. Karol Borsuk, On the concept of shape for metrizable spaces, Bull. acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 18 (1970), 127–132 (English, with Loose Russian summary). MR 0273565 (42 #8443)
  • 4. K. Borsuk, Some remarks on the theory of shape in arbitrary metrizable spaces, Proc. Third Prague Sympos. on General Topology, (1971), Academic Press, New York, 1973.
  • 5. T. A. Chapman, On some applications of infinite-dimensional manifolds to the theory of shape, Fund. Math. 76 (1972), no. 3, 181–193. MR 0320997 (47 #9530)
  • 6. Ralph H. Fox, On shape, Fund. Math. 74 (1972), no. 1, 47–71. MR 0296914 (45 #5973)
  • 7. Hans Freudenthal, Neuaufbau der Endentheorie, Ann. of Math. (2) 43 (1942), 261–279 (German). MR 0006504 (3,315a)
  • 8. Sibe Mardešić, Shapes for topological spaces, General Topology and Appl. 3 (1973), 265–282. MR 0324638 (48 #2988)
  • 9. Sibe Mardešić, On Borsuk's shape theory for compact pairs (preprint).
  • 10. Sibe Mardešić and Jack Segal, Shapes of compacta and ANR-systems, Fund. Math. 72 (1971), no. 1, 41–59. MR 0298634 (45 #7686)
  • 11. Leonard R. Rubin and Thomas J. Sanders, A shape theory for Hausdorff spaces (preprint).

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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9904-1973-13312-9
PII: S 0002-9904(1973)13312-9