Triangulated infinite-dimensional manifolds

Authors:
David W. Henderson and James E. West

Journal:
Bull. Amer. Math. Soc. **76** (1970), 655-660

MSC (1970):
Primary 5755; Secondary 5525

MathSciNet review:
0258067

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References | Similar Articles | Additional Information

**1.**T. A. Chapman,*Four classes of separable metric infinite-dimensional manifolds*, Bull. Amer. Math. Soc.**76**(1970), 399–403. MR**0253375**, 10.1090/S0002-9904-1970-12490-9**2.**C. H. Dowker,*Topology of metric complexes*, Amer. J. Math.**74**(1952), 555–577. MR**0048020****3.**James Dugundji,*Topology*, Allyn and Bacon, Inc., Boston, Mass., 1966. MR**0193606****4.**James Eells Jr. and Nicolaas H. Kuiper,*Homotopy negligible subsets*, Compositio Math.**21**(1969), 155–161. MR**0253331****5.**David W. Henderson,*Infinite-dimensional manifolds*, Proc. Internat. Sympos. on Topology and its Applications (Herceg-Novi, 1968), Savez Društava Mat. Fiz. i Astronom., Belgrade, 1969, pp. 183–185. MR**0285036****6.**David W. Henderson,*Micro-bundles with infinite-dimensional fibers are trivial*, Invent. Math.**11**(1970), 293–303. MR**0282380****7.**David W. Henderson,*Stable classification of infinite-dimensional manifolds by homotopy-type*, Invent. Math.**12**(1971), 48–56. MR**0290413****8.**David W. Henderson and R. Schori,*Topological classification of infinite dimensional manifolds by homotopy type*, Bull. Amer. Math. Soc.**76**(1970), 121–124. MR**0251749**, 10.1090/S0002-9904-1970-12392-8**9.**Richard S. Palais,*Homotopy theory of infinite dimensional manifolds*, Topology**5**(1966), 1–16. MR**0189028****10.**P. L. Renz,*The contractibility of the homeomorphism group of some product spaces by Wong's method*(to appear).**11.**R. Schori,*Topological stability for infinite-dimensional manifolds*, Compositio Math.**23**(1971), 87–100. MR**0287586****12.**James E. West,*Products of complexes and Fréchet spaces which are manifolds*, Trans. Amer. Math. Soc.**166**(1972), 317–337. MR**0293679**, 10.1090/S0002-9947-1972-0293679-6**13.**J. E. West,*The ambient homeomorphy of an incomplete subspace of Hilbert spaces*, Pac. J. Math. (to appear).

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DOI:
http://dx.doi.org/10.1090/S0002-9904-1970-12478-8