1 
Covering properties and quasiuniformities 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.

2 
On the role of 1LC and semi 1LC properties in determining the fundamental group of a one point union of spacesMoore, 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 3233.

4 
Classes of spaces defined by nested sequences of sets and maps among such spacesBerner, Andrew Joseph, January 1976 (has links)
Thesis (Ph. D.)University of WisconsinMadison, 1976. / Typescript. Vita. eContent providerneutral record in process. Description based on print version record. Includes bibliographical references.

5 
First order topologyInglis, 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 firstorder 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

6 
R₀ Spaces, R₁ Spaces, And HyperspacesDorsett, 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 wellknown 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 
Neighbourhood operators on CategoriesRazafindrakoto, Ando Desire 03 1900 (has links)
Thesis (PhD)Stellenbosch University, 2013. / ENGLISH ABSTRACT: While the notions of open and closed subsets in a topological space are dual to each
other, they take on another meaning when points and complements are no longer
available. Closure operators have been extensively used to study topological notions
on categories. Though this has recovered a fair amount of topological results and has
brought an economy of e ort and insight into Topology, it is thought that certain
properties, such as convergence, are naturally associated with neighbourhoods. On
the other hand, it is interesting enough to investigate certain notions, such as that
of closed maps, which in turn are naturally associated with closure by means of
neighbourhoods.
We propose in this thesis a set of axioms for neighbourhoods and test them with
the properties of connectedness and compactness. / AFRIKAANSE OPSOMMING: Al is die twee konsepte van oop en geslote subversamelings in 'n topologiese ruimte
teenoorgesteldes van mekaar, verander hul betekenis wanneer punte en komplemente
nie meer ter sprake is nie. Die gebruik van afsluitingsoperatore is alreeds
omvattend in die studie van topologiese konsepte in kategorieë, toegepas. Alhoewel
'n redelike aantal topologiese resultate, groeiende belangstelling en groter insig tot
Topologie die gevolg was, word daar geglo dat seker eienskappe, soos konvergensie,
op 'n natuurlike wyse aan omgewings verwant is. Nietemin is dit van belang om
sekere eienskappe, soos geslote afbeeldings, wat natuurlik verwant is aan afsluiting,
te bestudeer.
In hierdie proefskrif stel ons 'n aantal aksiomas oor omgewings voor en toets dit
gevolglik met die eienskappe van samehangendheid en kompaktheid.

8 
Chain conditions in ordered and regular first countable spacesMcIntyre, David W. January 1990 (has links)
No description available.

9 
On Borel universal setsLo, Joseph T. H. January 2001 (has links)
No description available.

10 
Topological GroupsHaffner, Ophelia Darleen 12 1900 (has links)
In the study of groups and topological spaces, the properties of both are often encountered in one system. The following are common examples: groups with discrete topologies, the complex numbers with the usual topology, and matrix groups with metric topologies. The need for a study of how algebraic properties and topological properties affect one another when united and interrelated in one system soon becomes evident. Thus the purpose of this thesis is to study the interrelated group and topological space, the topological group.

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