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On homotopy and deformation retracts

Published online by Cambridge University Press:  24 October 2008

Sze-Tsen Hu
Affiliation:
Department of MathematicsThe UniversityManchester 13

Extract

As a partial generalization of a theorem of Hurewicz (3), Whitehead gave an important theorem on deformation retracts ((9), p. 273) which was proved only for polytopes. A demonstration of a part of Whitehead's theorem for absolute neighbourhood retracts was published by Fox ((2), p. 42) with a remark given by Samelson(8).

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1947

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References

REFERENCES

(1)Eilenberg, S.Fund. Math. 32 (1939), 167–75.CrossRefGoogle Scholar
(2)Fox, R. H.Ann. Math. 44 (1943), 4050.CrossRefGoogle Scholar
(3)Hurewicz, W.Proc. K. Akad. Wet. Amsterdam, 38 (1935), 112–19.Google Scholar
(4)Hurewicz, and Steenrod, . Proc. Nat. Acad. Sci., Washington, 27 (1941), 60–4.CrossRefGoogle Scholar
(5)Hurewicz, and Wallman, . Dimension Theory (Princeton, 1940).Google Scholar
(6)Kuratowski, C.Fund. Math. 24 (1935), 259–68.CrossRefGoogle Scholar
(7)Lefschetz, S.Topics in Topology (Princeton, 1942).Google Scholar
(8)Samelson, H.Ann. Math. 45 (1944), 448–9.CrossRefGoogle Scholar
(9)Whitehead, J. H. C.Proc. London Math. Soc. (2) 45 (1939), 243327.CrossRefGoogle Scholar