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

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

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. (to appear). MR**253375****2.**C. H. Dowker,*Topology of metric complexes*, Amer. J. Math. 74 (1952), 555-577. MR 13, 965. MR**48020****3.**J. Dugundji,*Topology*, Allyn & Bacon, Boston, Mass., 1966. MR 33 #1824. MR**193606****4.**J. Eells and N. H. Kuiper,*Homotopy negligible subsets*, Compositio Math. 21 (1969), 155-161. MR**253331****5.**D. W. Henderson,*Infinite-dimensional manifolds*, Proc. Internat. Sympos. Topology and its Applications, Herceg Novi, Yugoslavia, 1968. MR**285036****6.**D. W. Henderson,*Micro-bundles with infinite-dimensional fibers are trivial*(to appear). MR**282380****7.**D. W. Henderson,*Stable classification of infinite-dimensional manifolds by homotopy type*, to (appear). MR**290413****8.**D. W. Henderson and R. Schori,*Topological classification of infinite-dimensional manifolds by homotopy type*, Bull. Amer. Math. Soc. 76 (1970), 121-124. MR**251749****9.**R. S. Palais,*Homotopy theory of infinitedimensional manifolds*, Topology 5 (1966), 1-16. MR 32 #6455. MR**189028****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*(to appear). MR**287586****12.**J. E. West,*Products of complexes and Fréchet spaces which are manifolds*(to appear). MR**293679****13.**J. E. West,*The ambient homeomorphy of an incomplete subspace of Hilbert spaces*, Pac. J. Math. (to appear).

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