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Wong, Raymond Y. T.

On homeomorphisms of infinite-dimensional bundles. I. (English) Zbl 0288.58001

Trans. Am. Math. Soc. 191, 245-259 (1974).
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Cited in 9 Documents

MSC:

58B05 Homotopy and topological questions for infinite-dimensional manifolds
55R10 Fiber bundles in algebraic topology
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\textit{R. Y. T. Wong}, Trans. Am. Math. Soc. 191, 245--259 (1974; Zbl 0288.58001)
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References:

[1] R. D. Anderson, Hilbert space is homeomorphic to the countable infinite product of lines, Bull. Amer. Math. Soc. 72 (1966), 515 – 519. · Zbl 0137.09703
[2] R. D. Anderson, On topological infinite deficiency, Michigan Math. J. 14 (1967), 365 – 383. · Zbl 0148.37202
[3] R. D. Anderson, Topological properties of the Hilbert cube and the infinite product of open intervals, Trans. Amer. Math. Soc. 126 (1967), 200 – 216. · Zbl 0152.12601
[4] R. D. Anderson and R. H. Bing, A complete elementary proof that Hilbert space is homeomorphic to the countable infinite product of lines, Bull. Amer. Math. Soc. 74 (1968), 771 – 792. · Zbl 0189.12402
[5] R. D. Anderson, David W. Henderson, and James E. West, Negligible subsets of infinite-dimensional manifolds, Compositio Math. 21 (1969), 143 – 150. · Zbl 0185.50803
[6] R. D. Anderson and John D. McCharen, On extending homeomorphisms to Fréchet manifolds, Proc. Amer. Math. Soc. 25 (1970), 283 – 289. · Zbl 0203.25805
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[8] W. Barit, Some properties of certain subsets of infinite-dimensional spaces, Dissertation, Lousiana State University, 1971.
[9] Czesław Bessaga and Victor Klee, Every non-normable Frechet space is homeomorphic with all of its closed convex bodies, Math. Ann. 163 (1966), 161 – 166. · Zbl 0138.37403
[10] T. A. Chapman, Four classes of separable metric infinite-dimensional manifolds, Bull. Amer. Math. Soc. 76 (1970), 399 – 403. · Zbl 0191.21902
[11] T. A. Chapman, Infinite deficiency in Fréchet manifolds, Trans. Amer. Math. Soc. 148 (1970), 137 – 146. · Zbl 0194.55601
[12] William H. Cutler, Negligible subsets of infinite-dimensional Fréchet manifolds, Proc. Amer. Math. Soc. 23 (1969), 668 – 675. · Zbl 0195.53603
[13] James Eells Jr. and Nicolaas H. Kuiper, Homotopy negligible subsets, Compositio Math. 21 (1969), 155 – 161. · Zbl 0181.51401
[14] David W. Henderson, Infinite-dimensional manifolds are open subsets of Hilbert space, Bull. Amer. Math. Soc. 75 (1969), 759 – 762. · Zbl 0179.29101
[15] Dale Husemoller, Fibre bundles, McGraw-Hill Book Co., New York-London-Sydney, 1966. · Zbl 0144.44804
[16] Victor L. Klee Jr., Convex bodies and periodic homeomorphisms in Hilbert space, Trans. Amer. Math. Soc. 74 (1953), 10 – 43. · Zbl 0050.33202
[17] Richard S. Palais, Homotopy theory of infinite dimensional manifolds, Topology 5 (1966), 1 – 16. · Zbl 0138.18302
[18] Peter L. Renz, The contractibility of the homeomorphism group of some product spaces by Wong’s method, Math. Scand. 28 (1971), 182 – 188. · Zbl 0218.57027
[19] James E. West, Fixed-point sets of transformation groups on infinite-product spaces., Proc. Amer. Math. Soc. 21 (1969), 575 – 582. · Zbl 0175.41703
[20] Raymond Y. T. Wong, On homeomorphisms of certain infinite dimensional spaces, Trans. Amer. Math. Soc. 128 (1967), 148 – 154. · Zbl 0153.24603
[21] Raymond Y. T. Wong, Stationary isotopies of infinite-dimensional spaces, Trans. Amer. Math. Soc. 156 (1971), 131 – 136. · Zbl 0223.57005
[22] Raymond Y. T. Wong, Homotopy negligible subsets of bundles, Compositio Math. 24 (1972), 119 – 128. · Zbl 0235.57005
[23] Raymond Y. T. Wong, On homeomorphisms of infinite-dimensional bundles. I, Trans. Amer. Math. Soc. 191 (1974), 245 – 259. , https://doi.org/10.1090/S0002-9947-1974-0415625-6 T. A. Chapman and R. Y. T. Wong, On homeomorphisms of infinite dimensional bundles. II, Trans. Amer. Math. Soc. 191 (1974), 261 – 268; ibid. 191 (1974), 269 – 276. , https://doi.org/10.1090/S0002-9947-1974-0415626-8 T. A. Chapman and R. Y. T. Wong, On homeomorphisms of infinite dimensional bundles. III, Trans. Amer. Math. Soc. 191 (1974), 269 – 276. · Zbl 0288.58002
[24] Raymond Y. T. Wong, On homeomorphisms of infinite-dimensional bundles. I, Trans. Amer. Math. Soc. 191 (1974), 245 – 259. , https://doi.org/10.1090/S0002-9947-1974-0415625-6 T. A. Chapman and R. Y. T. Wong, On homeomorphisms of infinite dimensional bundles. II, Trans. Amer. Math. Soc. 191 (1974), 261 – 268; ibid. 191 (1974), 269 – 276. , https://doi.org/10.1090/S0002-9947-1974-0415626-8 T. A. Chapman and R. Y. T. Wong, On homeomorphisms of infinite dimensional bundles. III, Trans. Amer. Math. Soc. 191 (1974), 269 – 276. · Zbl 0288.58002
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