Search
Now showing items 1-10 of 15
An example of movable approximations of a minimal set in a continuous flow
(2009-02-23)
In the present dissertation the study of flows on n-manifolds in particular in dimension three, e.g., R^3, is motivated by the following question. Let A be a compact invariant set in a flow on X. Does every neighbourhood ...
New Classes of Multivariate Gamma Survival and Reliability Models
(2008-09-09)
Multivariate modeling and analysis based on the multivariate normal distribution is well established and widely used. However, when the marginal distributions have only a positive support, such as time-to-event models, ...
Torsionless Modules and Minimal Generating Sets for Ideals of Integral Domains
(2008-09-09)
This is a treatise of relationships between the number of elements necessary to generate the ideals of a domain and the
torsionless modules of that domain. Three types of domains are
identified according to natural ...
On the role of 1-LC and semi 1-LC properties in determining the fundamental group of a one point union of spaces
(2008-09-09)
Concerning the fundamental group of spaces written as a union of two topological
spaces, the result by Seifert and van Kampen is well known and frequently
used. Over the years there have been various theorems published ...
Iterative processes generating dense point sets
(2008-09-09)
The central problem of the thesis is the question of denseness of
certain sets of points in the plane. All of the following results
are joint with A. Bezdek. We consider point sets P, not a subset
of a line, having the ...
A Brief Exploration of the Sorgenfrey Line and the Lexicographic Order
(2008-09-09)
The author will compare properties of the usual topology on the real line with the properties of the Sorgenfrey Line. After that she will look at properties of the Lexiographic Order on the reals cross [0,1]. The main ...
Concerning a Problem of K. Kuratowski
(2008-09-09)
Suppose (S,T) is a topological space and A is any subset of S. Then the functions f and g from the power set of S, P(S), into P(S) are defined as: f(A) is the closure of A and g(A) is the complement of A. In this thesis, ...
A-Stability For Two Species Competition Diffusion Systems
(2008-09-09)
My dissertation research focuses on establishing the structural
stability of the attractor ($\mathcal{A}$-stability) via Morse-Smale
property for diffusive two-species competition systems
\begin{equation}
\label{abst ...
Mixed Groups with Decomposition Bases and Global k-Groups
(2008-09-09)
This thesis is devoted to proving assertions made without proof by Paul Hill and Charles Megibben in their fundamental papers regarding knice subgroups and the Axiom 3 characterization of global Warfield groups. The main ...
A Peano Continuum which is Homogeneous but not Bihomogeneous
(2008-09-09)
The author describes in detail the construction of a Peano continuum which is homogeneous and non-bihomogeneous. This continuum was originally constructed by G. Kuperberg in the paper Another homogeneous, non-bihomogeneous ...