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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.
1

First order topology

Inglis, John Malyon January 1974 (has links)
A topological space may be viewed as an algebraic structure. For example, it may be viewed as a (complete atomic) Boolean algebra equipped with a closure operator. The lattice of closed subsets is another algebraic structure which may be associated with a topological space. Tne purpose of this thesis is primarily to investigate the metamathematical properties of algebraic structures associated with topological spaces. More specifically, we will first consider questions of decidability of the theories of these algebraic structures. It turns out that these theories are undecidable. We will also examine certain equivalence relations on the class of topological spaces that arise naturally from viewing them as first-order structures. Finally we will show that certain classical theorems of model theory do not hold for topological spaces. / Science, Faculty of / Mathematics, Department of / Graduate
2

On the role of 1-LC and semi 1-LC properties in determining the fundamental group of a one point union of spaces

Moore, Emilia. January 2005 (has links) (PDF)
Thesis (M.S.)--Auburn University, 2006. / Abstract. Vita. Includes bibliographical references (ℓ.54).
3

Characterizing topological spaces using topological or algebraic invariants a thesis presented to the faculty of the Graduate School, Tennessee Technological University /

Schwer, Brad, January 2008 (has links)
Thesis (M.S.)--Tennessee Technological University, 2008. / Title from title page screen (viewed on Sept. 29, 2009). Bibliography: leaves 32-33.
4

Classes of spaces defined by nested sequences of sets and maps among such spaces

Berner, Andrew Joseph, January 1976 (has links)
Thesis (Ph. D.)--University of Wisconsin--Madison, 1976. / Typescript. Vita. eContent provider-neutral record in process. Description based on print version record. Includes bibliographical references.
5

Covering properties and quasi-uniformities of topological spaces.

Junnila, Heikki J. K., January 1978 (has links)
Thesis (Ph. D.)--Virginia Polytechnic Institute and State University, 1978. / Also available via the Internet.
6

R₀ Spaces, R₁ Spaces, And Hyperspaces

Dorsett, Charles I. 12 1900 (has links)
The purpose of this paper is to further investigate R0 spaces, R1 spaces, and hyperspaces. The R0 axiom was introduced by N. A. Shanin in 1943. Later, in 1961, A. S. Davis investigated R0 spaces and introduced R1 spaces. Then, in 1975, William Dunham further investigated R1 spaces and proved that several well-known theorems can be generalized from a T2 setting to an R1 setting. In Chapter II R0 and R1 spaces are investigated and additional theorems that can be generalized from a T2 setting to an R1 setting are obtained.
7

Iterative solution of equations in linear topological spaces.

Kotze, Wessel Johannes. January 1964 (has links)
In this treatise the convergence of iterative algorithms for the solution of non-linear operator equations in complex linear topological spaces are studied from the point of view of fixed-point theorems in such spaces... It was felt that the concept of the Gâteaux differential is a more natural one to use in connection with linear topological spaces. The beauty of the developed technique we mentioned earlier is essentially due to the fact that we are considering spaces over the complex number field. The resulting convergence theorems have also the added advantage of imposing no conditions on the second or higher order differentials of the operator T, as would be the case in an obvious extension ( which was not written down) of Kantorovich's work to such real linear topological spaces. [...]
8

Non-Archimedian norms and bounds

Byers, Victor. January 1967 (has links)
No description available.
9

On Borel universal sets

Lo, Joseph T. H. January 2001 (has links)
No description available.
10

Chain conditions in ordered and regular first countable spaces

McIntyre, David W. January 1990 (has links)
No description available.

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