M.Sc Tezi Görüntüleme

Student: Yasemin BAHAR
Supervisor: Asst.Prof. Dr. Ömer PEKSEN
Department: Mathematics
Institution: Graduate School of Natural and Applied Sciences
University: Karadeniz Technical University, Turkey
Title of the Thesis: CHARACTERISTIC CLASSES
Level: M.Sc
Acceptance Date: 1/2/1999
Number of Pages: 135
Registration Number: i1003
Summary:

      This thesis titled as "Characteristic Classes" consists of two chapters.

       In the first chapter which is the preliminary to the next one, some definitions and theorems concerning the topological spaces, direct-invers limit, groups, exact sequences, tensor product, rings, polynomial rings, simplexes and triangulations are given.

       In the second chapter, for the construction of characteristic classes, manifolds, bundless, homology and cohomology groups are examined. Then by giving Stiefel-Whitney classes, Euler classes, Chern and Pontrjagin classes, relation between characteristic classes of different bundles are examined.

      Key Words : Simplex, Complex, Triangulation, Homology, Cohomology, Characteristic Classes, Grassmann Manifold, Universal Bundle, Vector Bundle