Browsing by Author "Baldwin, Stewart"

Now showing items 1-10 of 10

Applications of Stationary Sets in Set Theoretic Topology

Clontz, Steven, Jr. (2010-11-10)

The notion of a stationary subset of a regular cardinal, a set which intersects any closed unbounded subset of that cardinal, is a useful tool in investigating certain properties of topological spaces. In this paper we ...

Defining Chaos

Rock, Brittany (2017-07-26)

This thesis is a study of the paper "Defining chaos" by Brian Hunt and Edward Ott [1] with added details to make arguments easier to follow. They introduced a new entropy-based definition of chaos called expansion entropy. ...

Defining Chaos

Rock, Brittany (2017-07-18)

This thesis is a study of the paper “Deﬁning Chaos” by Brian Hunt and Edward Ott [1] with added details to make arguments easier to follow. They introduced a new entropy based deﬁnition of chaos called expansion entropy. ...

An example of movable approximations of a minimal set in a continuous flow

Sindelarova, Petra (2006-05-15)

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 ...

I-weight, special base properties and related covering properties

Bailey, Bradley (2005-12-15)

Alleche, Arhangel'ski\u{\i} and Calbrix defined the notion of a sharp base and posed the question: Is there a regular space with a sharp base whose product with [0, 1] does not have a sharp base? Chapter 2 contains an ...

Inverse Limit Spaces

Varagona, Scott (2008-12-15)

This paper is a vast survey of inverse limit spaces. After defining an inverse limit on continuous bonding functions, we prove important theorems about inverse limits, provide examples, and explore various generalizations ...

On Inverse Limits of Metric Spaces

Ozbolt, Joseph (2017-07-22)

Inverse limit spaces have been a topic studied in various fields of mathematics such as Algebra, Measure Theory, and Topology. Here, we present a theorem that can be summarized as a game in which a given compact metric ...

A Property of GO-Topologies on the Reals

Guest, Mark (2019-04-04)

In 1981 Peter de Caux proved that finite powers of the Sorgenfrey line are hereditarily D-spaces. In this paper we build on de Caux's technique to show that any subspace of a finite power of the reals with a generalized ...

A Study of Polya's Enumeration Theorem

Williams, Elizabeth (2005-08-15)

The controversial lemma, known most commonly as Burnside's Lemma, is stated and proven. The influential Polya's Enumeration Theorem is stated and proven. Computations using Polya's Enumeration Theorem are discussed and ...

Techniques for Finding Homeomorphisms Between Generalized Inverse Limits

Bertl, Alan (2016-05-05)

Techniques are presented for finding homeomorphisms between generalized inverse limits, including a generalization of techniques introduced by Smith and Varagona, and a characterization in terms of category theory.