Uniformly trivial maps into spheres
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- by Allan Calder PDF
- Bull. Amer. Math. Soc. 81 (1975), 189-191
References
- Allan Calder, For $n>1$ any map $R^{n}\rightarrow S^{n}$ is uniformly homotopic to a constant, Nederl. Akad. Wetensch. Proc. Ser. A 75=Indag. Math. 34 (1972), 32–36. MR 0305407, DOI 10.1016/1385-7258(72)90025-X
- Allan Calder, On the cohomology of $\beta R^{n}$, Quart. J. Math. Oxford Ser. (2) 25 (1974), 385–394. MR 365549, DOI 10.1093/qmath/25.1.385
- Allan Calder, Cohomology of finite covers, Trans. Amer. Math. Soc. 218 (1976), 349–352. MR 400205, DOI 10.1090/S0002-9947-1976-0400205-0
- C. H. Dowker, Mapping theorems for non-compact spaces, Amer. J. Math. 69 (1947), 200–242. MR 20771, DOI 10.2307/2371848 E. S. Eilenberg, Transformations continues en circonférence et la topologie du plan, Fund. Math. 26 (1936), 61-112.
- Samuel Eilenberg and Norman Steenrod, Foundations of algebraic topology, Princeton University Press, Princeton, N.J., 1952. MR 0050886, DOI 10.1515/9781400877492 H. J. P. L. Hardy, The free topological group on a CW-complex (preprint). M. J. W. Milnor, On the construction of FK, Lecture notes, Princeton University, 1956.
- Norman Steenrod, The Topology of Fibre Bundles, Princeton Mathematical Series, vol. 14, Princeton University Press, Princeton, N. J., 1951. MR 0039258, DOI 10.1515/9781400883875
Additional Information
- Journal: Bull. Amer. Math. Soc. 81 (1975), 189-191
- MSC (1970): Primary 55D99; Secondary 54E60, 54D35
- DOI: https://doi.org/10.1090/S0002-9904-1975-13704-9
- MathSciNet review: 0358763