A theory of proper shape for locally compact metric spaces
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- by B. J. Ball and R. B. Sher PDF
- Bull. Amer. Math. Soc. 79 (1973), 1023-1026
References
- Karol Borsuk, Concerning homotopy properties of compacta, Fund. Math. 62 (1968), 223–254. MR 229237, DOI 10.4064/fm-62-3-223-254
- 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
- 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 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.
- T. A. Chapman, On some applications of infinite-dimensional manifolds to the theory of shape, Fund. Math. 76 (1972), no. 3, 181–193. MR 320997, DOI 10.4064/fm-76-3-181-193
- Ralph H. Fox, On shape, Fund. Math. 74 (1972), no. 1, 47–71. MR 296914, DOI 10.4064/fm-74-1-47-71
- Hans Freudenthal, Neuaufbau der Endentheorie, Ann. of Math. (2) 43 (1942), 261–279 (German). MR 6504, DOI 10.2307/1968869
- Sibe Mardešić, Shapes for topological spaces, General Topology and Appl. 3 (1973), 265–282. MR 324638, DOI 10.1016/0016-660X(72)90018-9 9. Sibe Mardešić, On Borsuk’s shape theory for compact pairs (preprint).
- Sibe Mardešić and Jack Segal, Shapes of compacta and ANR-systems, Fund. Math. 72 (1971), no. 1, 41–59. MR 298634, DOI 10.4064/fm-72-1-41-59 11. Leonard R. Rubin and Thomas J. Sanders, A shape theory for Hausdorff spaces (preprint).
Additional Information
- Journal: Bull. Amer. Math. Soc. 79 (1973), 1023-1026
- MSC (1970): Primary 55D99; Secondary 54E45, 54D35, 54F40
- DOI: https://doi.org/10.1090/S0002-9904-1973-13312-9
- MathSciNet review: 0334139