A phantom dissertation.
Item
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Title
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A phantom dissertation.
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Identifier
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AAI9732980
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identifier
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9732980
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Creator
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Touhey, Pat.
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Contributor
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Adviser: Joe Roitberg
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Date
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1997
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Language
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English
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Publisher
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City University of New York.
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Subject
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Mathematics
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Abstract
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A dissertation which has taken an inordinate length of time to appear, hence the name phantom. Coincidentally the subject matter concerns phantom maps. More precisely it addresses various properties of the rationalization and profinite completion functors. Through an investigation of the homotopy fiber of the rationalization map a new functor, torsionization, arises. We then show that a natural transformation exists from this functor to the identity functor. With the aid of these facts we are able to dualize, generalize and offer simplified proofs for a variety of results.
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Type
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dissertation
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Source
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PQT Legacy CUNY.xlsx
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degree
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Ph.D.
