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Now showing items 1-10 of 13

### Fixed Points and Periodic Points of Orientation Reversing Planar Homeomorphisms

(2010-07-20)

Topological dynamics on surfaces is studied. The primary objects of study are orientation reversing homeomorphisms of the plane, but most of the results apply also to the orientation reversing homeomorphisms of the 2-sphere. ...

### Integral closures

(2010-07-06)

The q^th-power algorithm from Leonard [3], [4], and Leonard and Pellikaan [1] is a
recent and efficient method of computing the integral closure of a ring in its field of fractions.
Previously, the q^th-power algorithm ...

### Evading Triangles without a map

(2010-01-06)

We divise a heuristic which enables a traveler to traverse the plane from a start point S to a target point T while evading unknown obstacles. The obstacles are assumed to be equilateral triangles which are all translates ...

### 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 ...

### The Inverse Domination Number Problem, DI-Pathological Graphs, and Fractional Analogues

(2010-04-20)

The conjecture that $\alpha(G) \geq \gamma'(G)$ is unproven where $\alpha(G)$ is the vertex independence number and $\gamma'(G)$ is the inverse domination number of a simple graph G. We have found the conjecture to be true ...

### Constructive Aspects for the Generalized Orthogonal Group

(2010-04-28)

Our main result is a constructive proof of the Cartan-Dieudonn\'{e}-Scherk Theorem in the real or complex fields. The Cartan-Dieudonn\'{e}-Scherk Theorem states that for fields of characteristic other than two, every ...

### On the Conjugacy Theorems of Cartan and Borel Subalgebras

(2010-04-09)

We study the conjugacy theorems of Cartan subalgebras and Borel
subalgebras of general Lie algebras. We present a history of the problem, along with two proofs of the theorems which stay completely within the realm of ...

### A Generalization of Special Atom Spaces with Arbitrary Measure

(2010-12-08)

A brief historical account of the development of special atom spaces is presented followed
by the introduction of two new function spaces, A ( ; ) and B ( ; ), which are generalizations
of previous special atom spaces ...

### K4-e Designs with a Hole

(2010-07-27)

In this paper we look at K4 − e designs on Kw−v + v. We settle the case when w and v
are of the same parity.

### On Continuously Urysohn Spaces

(2010-08-03)

We study the properties of weakly continuously Urysohn (denoted by wcU ) and continuously
Urysohn (denoted by cU ) spaces. The class of continuously Urysohn spaces is known to contain the class of metrizable,submetrizable, ...