A study of product decompositions of topological manifolds
Date Issued
August 1, 1979
Author(s)
Preston, Donald Kriss.
Advisor(s)
R.J. Daverman
Abstract
This work is concerned with upper semi-continuous, cell-like decompositions of topological manifolds. The first major result is a theorem which states that a sliced decomposition of Enx E1 is shrinkable if each slice yields an (n + l)-manifold factor. The second major theorem states that the product of two cell-like, upper semi-continuous decompositions is shrinkable provided each yields an ANR and at least one is of codimension one in the source manifold.
The first result is proved using a spreading and shrinking in stages technique which is similar to methods used previously by E. Woodruff. The second result is proved via R.D. Edwards' theorem on approximating cell-like maps by homeomorphisms when the image possesses the Disjoint Discs Property.
Degree
Doctor of Philosophy
Major
Mathematics
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Thesis79b.P748.pdf
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