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Now showing items 71-80 of 280

### Coefficient Space Properties and a Schur Algebra Generalization

(2008-09-09)

Let K be an infinite field and Gamma = GL_(n)(K). If we linearly extend the natural action of Gamma on the set E of n-dimensional column vectors over K to the group algebra KGamma, then E becomes a KGamma-module. We then ...

### 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, ...

### Disjoint Intersection Problem For Steiner Triple Systems

(2008-09-09)

Let (S, T_1) and (S, T_2) be two Steiner Triple systems on the set S of symbols with the set of triples T_1 and T_2 respectively. They are said to intersect in m blocks if |T_1 intersection T_2| = m. Further, if the blocks ...

### Path Curvature on a Convex Roof

(2008-09-09)

Given a set of rectangles, R1 through Rk, where Ri and Ri+1 share a common
edge and these common edges are congruent and parallel to each other. The resulting
”roof” is part of the surface of a convex body. We’ll consider ...

### 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 ...

### Convexity of Generalized Numerical Ranges Associated with SU(n) and SO(n)

(2010-05-20)

We give a new proof of a result of Tam on the convexity of the generalized numerical
range associated with the classical Lie groups SO(n). We also provide a connection between
the result and the convexity of the classical ...