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11 
Coverings of Topological Spaces and ParacompactnessKing, Ronald Scott 08 1900 (has links)
This paper will be devoted to an exposition of some of the basic properties of paracompact spaces. In particular, it will be shown that every pseudometrizable space is paracompact and countably paracompact.

12 
Connectedness and Some Concepts Related to Connectedness of a Topological SpaceWallace, Michael A. 08 1900 (has links)
The purpose of this thesis is to investigate the idea of topological "connectedness" by presenting some of the basic ideas concerning connectedness along with several related concepts.

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Some Properties of Metric SpacesBrazile, Robert P. 08 1900 (has links)
The study of metric spaces is closely related to the study of topology in that the study of metric spaces concerns itself, also, with sets of points and with a limit point concept based on a function which gives a "distance" between two points. In some topological spaces it is possible to define a distance function between points in such a way that a limit point of a set in the topological sense is also a limit point of the same set in a metric sense. In such a case the topological space is "metrizable". The real numbers with its usual topology is an example of a topological space which is metrizable, the distance function being the absolute value of the difference of two real numbers. Chapters II and III of this thesis attempt to classify, to a certain extent, what type of topological space is metrizable. Chapters IV and V deal with several properties of metric spaces and certain functions of metric spaces, respectively.

14 
Ordered Frechet spaces.January 1977 (has links)
Cheng Honwing. / Thesis (M.Phil.)Chinese University of Hong Kong. / Bibliography: leaf 29.

15 
Topologies on omega1 and guessing sequences /HernandezHernandez, Fernando. January 2004 (has links)
Thesis (Ph.D.)York University, 2004. Graduate Programme in Mathematics. / Typescript. Includes bibliographical references (leaves 7783) and index. Also available on the Internet. MODE OF ACCESS via web browser by entering the following URL: http://wwwlib.umi.com/cr/yorku/fullcit?pNQ99185

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Pairings of Binary reflexive relational structures.Chishwashwa, Nyumbu. January 2008 (has links)
<p>The main purpose of this thesis is to study the interplay between relational structures and topology , and to portray pairings in terms of some finite poset models and order preserving maps. We show the interrelations between the categories of topological spaces, closure spaces and relational structures. We study the 4point nonHausdorff model S4 weakly homotopy equivalent to the circle S1. We study pairings of some objects in the category of relational structures similar to the multiplication S4 x S4 S4 S4 fails to be order preserving for posets. Nevertheless, applying a single barycentric subdivision on S4 to get S8, an 8point model of the circle enables us to define an order preserving poset map S8 x S8 S4. Restricted to the axes, this map yields weak homotopy equivalences S8 x S8, we obtain a version of the Hopf map S8 x S8s  SS4. This model of the Hopf map is in fact a map of nonHausdorff double map cylinders.</p>

17 
Über die Enden topologischer Räume und GruppenFreudenthal, Hans, January 1931 (has links)
Thesis (doctoral)FriedrichWilhelmsUniversität zu Berlin, 1931. / Vita. "Sonderabdruck aus der "Mathematischen zeitschrift", Band 33, Heft 5"T.p. verso. Includes bibliographical references.

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Convexités dans les espaces vectoriels topologiques générauxTurpin, Philippe. January 1974 (has links)
ThesisUniversité de Paris XI. / Includes bibliographical references.

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CONVERGENCE OF RANDOM FUNCTIONALS ON K(M(,P)) SPACESKitchens, Larry J. January 1972 (has links)
No description available.

20 
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 nonlinear operator equations in complex linear topological spaces are studied from the point of view of fixedpoint 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. [...]

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