Cell-like mappings of hilbert cube manifolds: solution of a handle problem

General Topology and its Applications - Tập 5 Số 2 - Trang 123-145 - 1975
T. A. Chapman1
1Univ. of Kentucky, Lexington KY 40506 (U.S.A.)

Tóm tắt

Từ khóa


Tài liệu tham khảo

Anderson, 1971, Extending homeomorphism to Hilbert cube manifolds, Pacific J. Math., 38, 281, 10.2140/pjm.1971.38.281

Borsuk, 1970, On the concept of shape for metrizable spaces, Bull. Acad. Pol. Sci. (Math.), 18, 127

Chapman, 1972, On the structure of Hilbert cube manifolds, Compositio Math., 24, 329

T.A. Chapman, Surgery and handle straightening in Hilbert cube manifolds, Pacific J. Math., to appear.

T.A. Chapman, All Hilbert cube manifolds are triangulable, preprint.

T.A. Chapman, Classification of Hilbert cube manifolds and infinite simple homotopy types, preprint.

T.A. Chapman, Cell-like mappings of Hilbert cube manifolds: Applications to simple homotopy theory, preprint.

Dugundji, 1966

Kirby, 1969

Lacher, 1969, Cell-like mappings I, Pacific J. Math., 30, 717, 10.2140/pjm.1969.30.717

Schori, 1971, Topological stability for infinite-dimensional manifolds, Compositio Math., 23, 87

Siebenmann, 1970, Infinite simple homotopy types, Indag. Math., 32, 479, 10.1016/S1385-7258(70)80052-X

Siebenmann, 1972, Approximating cellular maps by homeomorphisms, Topology, 11, 271, 10.1016/0040-9383(72)90014-6

West, 1971, Mapping cylinders of Hilbert cube factors, Gen. Topology Appl., 1, 111, 10.1016/0016-660X(71)90117-6