Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
Results
Showing 1 to 12 of 12 for “"Homology theory"”.
-
Aspects of Harrison's Homology Theory
Made available in DSpace on 2014-12-11T18:23:32Z (GMT). No. of bitstreams: 1 7105095.pdf: 2047116 bytes, checksum: 61a5bf2122c34e149af5054142e97019 (MD5) Previous issue date: 1970
-
On Borel-Moore Homology Theory
Made available in DSpace on 2014-12-09T22:17:18Z (GMT). No. of bitstreams: 1 6500896.pdf: 1131937 bytes, checksum: 6439867870b0b611055f83f2bc89bedb (MD5) Previous issue date: 1964
-
Foundations of Vietoris homology theory with applications to non-compact spaces
… to provide an underlying structure for Vietoris homology theory as it is used by topologists today. It is hoped that the existence of this structure will give formal status to the theory and enable results to be formulated and proved with a degree of precision not previously attainable. The …
-
Applications of Homological Algebra to Equational Theories
… rules) that is equivalent to a given equational theory (or term rewriting system), using homological algebra. Their method is an analog of Squier’s homology theory on string rewriting systems. In this dissertation, I develop the homology theory for term rewriting systems more and provide a better …
-
Foliations and exotic index theory
… extension of the theorem of G. Yu to the index theory for the foliations. Using the functorial property of the Kasparov KK-product, the foliation exotic index theorem can be recovered via the connecting homomorphism of K-homology theory. In the case of Riemannian foliations on compact manifolds, …
-
Resolution of Stratifolds and Connection to Mather's Abstract Pre-Stratified Spaces
… so called stratifolds such that their bordism theory leads to a homology theory, which has the same coefficients as singular homology. In this thesis we focus on two subclasses of stratifolds with more geometrical structure, namely p-stratifolds and cornered p-stratifolds. First, we consider …
-
Andre-Quillen homology for simplicial algebras and ring spectra
We discuss Andre-Quillen homology for simplicial algebras and algebras over simplicial algebras, extending the classical notion for rings. This extension is also discussed by Goerss and Hopkins, however our statements are proven in a more explicit way. We are then further able to construct spectral …
-
Three viewpoints on semi-abelian homology
… three different viewpoints on semi-abelian homology, resulting in three ways of defining and calculating homology objects. Any two of these three homology theories coincide whenever they are both defined, but having these different approaches available makes it possible to choose the most …
-
Generalised cohomology and relatively exact Lagrangian submanifolds
… our main goals is to study their generalised cohomology, extending known results about their singular cohomology. We do this using different (and simpler) technical set-ups to that of Cohen, Jones and Segal [18, 16]. In Chapter 2, we prove that (under appropriate orientation conditions, …
-
Hopfological Algebra
We develop some basic homological theory of hopfological algebra as defined by Khovanov. A simplicial bar resolution for an arbitrary hopfological module is constructed, and some derived analogue of Morita theory is established. We also discuss about some special classes of examples that appear …
-
Group actions, cobordisms, and other aspects of 4-manifold theory through the eyes of Floer homology
Thesis (Ph. D.)--Michigan State University. Mathematics, 2010
-
On the Cohomology of the Complement of a Toral Arrangement
… of mathematical formula including de Rham cohomology with complex coefficients to state and prove extension of Brieskorn's Lemma theorem.