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Browsing by Author "Heath, Jo"

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A Brief Exploration of the Sorgenfrey Line and the Lexicographic Order 

Greiwe, Regina (2006-05-15)
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 

Nguyen, Van-Trinh (2006-05-15)
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, ...

Development of Striae Distensae - A Mechanochemical Model 

Hariharan, Aneesh (2007-05-15)
Striae distensae, otherwise known as stretch marks, are common skin lesions found in a variety of clinical settings. They occur frequently during adolescence or pregnancy when there is rapid tissue expansion, but may ...

Non-metric Continua that support Whitney maps 

Stone, Jennifer (2007-05-15)
An example of a non-metric continuum is constructed, where every non-degenerate subcontinuum is non-metric, that supports a Whitney map. Additional non-metric examples are given and examinations of conditions under which ...

A Peano Continuum which is Homogeneous but not Bihomogeneous 

Gammon, Kevin (2006-12-15)
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 ...