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The Global ETD Search service is a free service for researchers
to find electronic theses and dissertations. This service is
provided by the
Networked Digital Library of Theses and Dissertations.
Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.
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On Iwase's Construction of a Counterexample to Ganea's ConjectureToupin, Curtis January 2017 (has links)
In 1971, Ganea put forth a conjecture that the LS category of the Cartesian product of a topological space X with a sphere Sn is always exactly 1 higher than the LS category of X by itself. Several special cases of this conjecture were proven in the years following, however the question remained open until 1998 when Iwase produced not just one, but infinitely many counterexamples. In this thesis, we study the methods implemented by Iwase, culminating in the construction of his counterexample.
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