The problem that we are concerned with is the existence and construction of embeddings of a given G-CW complex (G-manifold) in another G-CW complex (G-manifold) having a prescribed homotopy type and a prescribed family of isotropy subgroups.
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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…