Thesis (Ph. D.)--University of Wisconsin--Madison, 1966. / Typescript. Vita. eContent provider-neutral record in process. Description based on print version record. Includes bibliographical references.

Thesis (Ph. D.)--University of Wisconsin, 1967. / Typescript. Vita. eContent provider-neutral record in process. Description based on print version record. Includes bibliographical references.

Thesis (M. Phil.)--University of Hong Kong, 2006. / Title proper from title frame. Also available in printed format.

Theses (M.A.)--Marshall University, 2006. / Title from document title page. Includes abstract. Document formatted into pages: contains iv, 48 including illustrations. Bibliography: p. 47-48.

Thesis (Ph.D.)--University of Nebraska-Lincoln, 2007. / Title from title screen (site viewed Oct. 10, 2007). PDF text: 127 p. : ill. UMI publication number: AAT 3258773. Includes bibliographical references. Also available in microfilm and microfiche formats.

Thesis (Ph. D.)--University of Oregon, 2000. / Includes vita and abstract. Includes bibliographical references (leaf 91). Also available for download via the World Wide Web; free to University of Oregon users.

Thesis (Ph. D.)--University of Oregon, 2000. / Title from title screen. Paging within document: vii, 91 p. Includes vita and abstract. Includes bibliographical references (p. 91).

The aim of this dissertation at the outset is to give a survey of obstruction theories after Steenrod and to describe the various techniques employed by different researchers, the intricate perhaps subtle relation from one technique to another. Owing to the difficulty in computing higher co-homology operations, one is led naturally to K-theory and the Eilenberg-Moore spectral sequence. However, these and other recent developments especially those in the study of stable Postnikov systems go beyond the intention of this modest survey. / Science, Faculty of / Mathematics, Department of / Graduate

The graded cohomology groups of a cartesian product of two cellular spaces are expressible in terms of the cohomology groups of the factors. This relationship is given by the (split) short exact Runneth sequence. However the multiplicative structure on the cohomology of a cartesian product can in general not be derived by solely referring to the Runneth formula. In this thesis we explicitly exhibit the cup product structure on a cartesian product of two (standard) lens spaces. This result is obtained by analyzing the Runneth sequence and by making use of the particular geometry of the spaces involved. / Science, Faculty of / Mathematics, Department of / Graduate

Symplectic Khovanov homology is first defined by Seidel and Smith as a singly graded link homology. It is proved isomorphic to combinatorial Khovanov homology over any characteristic zero field by Abouzaid and Smith. In this dissertation, we construct a second grading on symplectic Khovanov homology from counting holomorphic disks in a partially compactified space. One of the main theorems asserts that this grading is well-defined. We also conclude the other main theorem that this second grading recovers the Jones grading of Khovanov homology over any characteristic zero field, through showing that the Abouzaid and Smith's isomorphism can be refined as an isomorphism between doubly graded groups. The proof of the theorem is carried out by showing that there exists a long exact sequence in symplectic Khovanov homology that commutes with its combinatorial counterpart.