Test spaces for metric spaces
HTML articles powered by AMS MathViewer
- by Byron H. McCandless PDF
- Proc. Amer. Math. Soc. 10 (1959), 372-376 Request permission
References
- A. L. Blakers and W. S. Massey, The homotopy groups of a triad. I, Ann. of Math. (2) 53 (1951), 161–205. MR 38654, DOI 10.2307/1969346
- M. L. Curtis and M. K. Fort Jr., Homotopy groups of one-dimensional spaces, Proc. Amer. Math. Soc. 8 (1957), 577–579. MR 86296, DOI 10.1090/S0002-9939-1957-0086296-1
- C. H. Dowker, Mapping theorems for non-compact spaces, Amer. J. Math. 69 (1947), 200–242. MR 20771, DOI 10.2307/2371848
- J. Dugundji, An extension of Tietze’s theorem, Pacific J. Math. 1 (1951), 353–367. MR 44116
- Samuel Eilenberg, Continuous mappings of infinite polyhedra, Ann. of Math. (2) 42 (1941), 459–468. MR 5350, DOI 10.2307/1968911
- Dick Wick Hall and Guilford L. Spencer II., Elementary topology, John Wiley & Sons, Inc., New York; Chapman & Hall, Ltd., London, 1955. MR 0074804
- Sze-Tsen Hu, Mappings of a normal space into an absolute neighborhood retract, Trans. Amer. Math. Soc. 64 (1948), 336–358. MR 26325, DOI 10.1090/S0002-9947-1948-0026325-3
- Yukihiro Kodama, On $\textrm {LC}^n$ metric spaces, Proc. Japan Acad. 33 (1957), 79–83. MR 89411
- Byron H. McCandless, Test spaces for dimension $n$, Proc. Amer. Math. Soc. 7 (1956), 1126–1130. MR 83122, DOI 10.1090/S0002-9939-1956-0083122-0
- J. H. C. Whitehead, Combinatorial homotopy. I, Bull. Amer. Math. Soc. 55 (1949), 213–245. MR 30759, DOI 10.1090/S0002-9904-1949-09175-9
- George W. Whitehead, Homotopy theory, Massachusetts Institute of Technology, Mathematics Department, Cambridge, Mass., 1953. Compiled by Robert J. Aumann. MR 0091469
Additional Information
- © Copyright 1959 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 10 (1959), 372-376
- MSC: Primary 55.00; Secondary 54.00
- DOI: https://doi.org/10.1090/S0002-9939-1959-0106458-6
- MathSciNet review: 0106458