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Point-Like, Simplicial Mappings of a 3-Sphere

Published online by Cambridge University Press:  20 November 2018

Ross Finney
Ross Finney*
Affiliation:
Massachusetts Institute of Technology, Cambridge, Massachusetts, and University of Michigan
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A decomposition of a topological space X is a partitioning of X into non-empty, disjoint sets called elements of the decomposition. An element of a decomposition is non-degenerate if it contains more than one point. Associated with each decomposition D of X is a topological space D*, called the hyperspace of the decomposition. A classical problem on decompositions of topological spaces is to find conditions under which D* is homeomorphic to X. Often decompositions arise from mappings: if g is a mapping of a space X onto a space Y, then D = {g-1(y) |y ∊ Y} is a decomposition of X.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 15 , 1963 , pp. 591 - 604
Copyright
Copyright © Canadian Mathematical Society 1963

References

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