Homotopy-invariant group constructions and preimages of essential maps

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dc.contributor.advisorBourgin, David G.
dc.contributor.committeeMemberWhyburn, Clifton T.
dc.contributor.committeeMemberLelek, Andrew S.
dc.contributor.committeeMemberSchmidt, Jürgen
dc.contributor.committeeMemberYoes, M. G., Jr.
dc.creatorMorton, George R.
dc.date.accessioned2023-09-29T17:40:49Z
dc.date.available2023-09-29T17:40:49Z
dc.date.issued1980
dc.description.abstractAs is well known, the suspension [epsilon]X of a space X has a Co-H group structure in terms of which the collection of all homotopy classes of base point preserving maps [epsilon]X -> Y can be shown to be a group. To put it briefly, [epsilon] is a covariant functor from the category of pointed topological spaces and base point preserving maps to the category of groups and homomorphisms. [...]
dc.description.departmentMathematics, Department of
dc.format.digitalOriginreformatted digital
dc.format.mimetypeapplication/pdf
dc.identifier.other7704618
dc.identifier.urihttps://hdl.handle.net/10657/15113
dc.language.isoen
dc.rightsThis item is protected by copyright but is made available here under a claim of fair use (17 U.S.C. Section 107) for non-profit research and educational purposes. Users of this work assume the responsibility for determining copyright status prior to reusing, publishing, or reproducing this item for purposes other than what is allowed by fair use or other copyright exemptions. Any reuse of this item in excess of fair use or other copyright exemptions requires express permission of the copyright holder.
dc.subjectHomeomorphisms
dc.subjectHomotopy theory
dc.titleHomotopy-invariant group constructions and preimages of essential maps
dc.type.dcmiText
dc.type.genreThesis
thesis.degree.collegeCollege of Natural Sciences and Mathematics
thesis.degree.departmentMathematics, Department of
thesis.degree.disciplineMathematics
thesis.degree.grantorUniversity of Houston
thesis.degree.levelDoctoral
thesis.degree.nameDoctor of Philosophy

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