On the homotopy type of ANR's
Author:
J. H. C. Whitehead
Journal:
Bull. Amer. Math. Soc. 54 (1948), 1133-1145
DOI:
https://doi.org/10.1090/S0002-9904-1948-09140-6
MathSciNet review:
0029504
Full-text PDF Free Access
References | Additional Information
- 1. R. H. Fox, On homotopy type and deformation retracts, Ann. of Math. (2) 44 (1943), 40–50. MR 7980, https://doi.org/10.2307/1969063
- 2. Ralph H. Fox, On the Lusternik-Schnirelmann category, Ann. of Math. (2) 42 (1941), 333–370. MR 4108, https://doi.org/10.2307/1968905
- 3. Hans Samelson, Remark on a paper by R. H. Fox, Ann. of Math. (2) 45 (1944), 448–449. MR 10973, https://doi.org/10.2307/1969186
- 4. Solomon Lefschetz, Algebraic Topology, American Mathematical Society Colloquium Publications, v. 27, American Mathematical Society, New York, 1942. MR 0007093
- 5. Solomon Lefschetz, Topics in Topology, Annals of Mathematics Studies, no. 10, Princeton University Press, Princeton, N. J., 1942. MR 0007094
- 6. J. H. C. Whitehead, Proc. London Math. Soc. vol. 45 (1939) pp. 243-327.
- 7. J. H. C. Whitehead, On incidence matrices, nuclei and homotopy types, Ann. of Math. (2) 42 (1941), 1197–1239. MR 5352, https://doi.org/10.2307/1970465
- 8. J. H. C. Whitehead, Note on a theorem due to Borsuk, Bull. Amer. Math. Soc. 54 (1948), 1125–1132. MR 29503, https://doi.org/10.1090/S0002-9904-1948-09138-8
- 9. Sze-Tsen Hu, On homotopy and deformation retracts, Proc. Cambridge Philos. Soc. 43 (1947), 314–320. MR 22348
- 10. Hsein-Chung Wang, Proceedings Akademie van Wetenschappen, Amsterdam, vol. 50 (1947).
- 11. K. Reidemeister, Topologie der Polyeder, Leipzig, 1933.
- 12. Samuel Eilenberg, Singular homology theory, Ann. of Math. (2) 45 (1944), 407–447. MR 10970, https://doi.org/10.2307/1969185
- 13. S. Eilenberg, Fund. Math. vol. 32 (1939) pp. 167-175.
- 14.
W. Hurewicz, Proceedings Akademie von Wetenschappen, Amsterdam, vol.
- 38 (1935) pp. 521-528.
- 15. K. Borsuk, Fund. Math. vol. 24 (1935) pp. 249-558.
Additional Information
DOI:
https://doi.org/10.1090/S0002-9904-1948-09140-6