On spaces having the homotopy type of 𝐶𝑊-complex

On spaces having the homotopy type of $\textrm {CW}$-complex
HTML articles powered by AMS MathViewer

by John Milnor

Trans. Amer. Math. Soc. 90 (1959), 272-280

DOI: https://doi.org/10.1090/S0002-9947-1959-0100267-4

PDF | Request permission

References

Simplicial and semisimplicial complexes

Karol Borsuk, Sur un espace compact localement contractile qui n’est pas un rétracte absolu de voisinage, Fund. Math. 35 (1948), 175–180 (French). MR 27498, DOI 10.4064/fm-35-1-175-180
C. H. Dowker, Topology of metric complexes, Amer. J. Math. 74 (1952), 555–577. MR 48020, DOI 10.2307/2372262
J. Dugundji, An extension of Tietze’s theorem, Pacific J. Math. 1 (1951), 353–367. MR 44116, DOI 10.2140/pjm.1951.1.353

Foundations of algebraic topology

Ralph H. Fox, On fibre spaces. II, Bull. Amer. Math. Soc. 49 (1943), 733–735. MR 9109, DOI 10.1090/S0002-9904-1943-08015-9
John B. Giever, On the equivalence of two singular homology theories, Ann. of Math. (2) 51 (1950), 178–191. MR 33002, DOI 10.2307/1969505
Olof Hanner, Some theorems on absolute neighborhood retracts, Ark. Mat. 1 (1951), 389–408. MR 43459, DOI 10.1007/BF02591376
Olof Hanner, Retraction and extension of mappings of metric and non-metric spaces, Ark. Mat. 2 (1952), 315–360. MR 50875, DOI 10.1007/BF02591501
I. M. James and J. H. C. Whitehead, Note on fibre spaces, Proc. London Math. Soc. (3) 4 (1954), 129–137. MR 61837, DOI 10.1112/plms/s3-4.1.129

Sur les espaces localement connexes et péaniens en dimension

John Milnor, The geometric realization of a semi-simplicial complex, Ann. of Math. (2) 65 (1957), 357–362. MR 84138, DOI 10.2307/1969967
Jean-Pierre Serre, Homologie singulière des espaces fibrés. Applications, Ann. of Math. (2) 54 (1951), 425–505 (French). MR 45386, DOI 10.2307/1969485
A. H. Stone, Paracompactness and product spaces, Bull. Amer. Math. Soc. 54 (1948), 977–982. MR 26802, DOI 10.1090/S0002-9904-1948-09118-2
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
J. H. C. Whitehead, A certain exact sequence, Ann. of Math. (2) 52 (1950), 51–110. MR 35997, DOI 10.2307/1969511