This paper continues a series by the authors on non-compact 3-manifolds. We describe the structure, up to end homeomorphism, of those orientable, non-compact 3-manifolds in which all loops near infinity [symbol] homotop to infinity [symbol] while staying near infinity [symbol] (…
We analyze fibrations over paracompact Hausdorff bases with locally compact ANR fibers and show that a fibred analog of the first author's characterization of Hilbert cube manifolds detects the Hilbert cube manifold bundles if the fibers are compact or the base is semi-locally c…
A knot K is said to have Property P if simply-connected 3-manifolds cannot be obtained by non-trivial Dehn surgeries along K. Torus knots, twist knots, a class of 2-bridge knots, and 2-bridge knots with 9 or fewer crossings are known to have Property P. On the other hand, Ochiai…
This work studies equivariant linear second order elliptic operators [italic capital]P on a connected noncompact manifold [italic capital]X with a given action of a group [italic capital]G. The action is assumed to be cocompact, meaning that [italic capitals]GV = [italic capital…
There are two parts to this paper. In the first part, we solve the problem of when a finite regular covering of a closed [italic]n-manifold M is homotopic to an embedding in an [italic]n-plane bundle over M. The results of the first part are used in the second part to obtain res…
The author considers the set [italic]G[italic subscript]n[italic superscript]t([italic]M) (where [italic]M is a manifold) of embeddings of [italic]S[italic superscript]n × [italic]M in [italic]S[italic superscript]n+[italic superscript]2 × [italic]M, homotopic (relative to the b…
![[Beta]-homotopy equivalences have [alpha]-cross sections](https://covers.openlibrary.org/b/isbn/0821822748-M.jpg?default=false)
The purpose of this paper is to study the following problem: When is there a locally flat embedding g: N[superscript]n [right arrow] M[superscript]m such that pg is [lowercase Greek]Alpha-close to h? This problem is intimately related to the problem of approximating topological …
