No description available.

Diss.--Technische Hochschule Darmstadt. / Vita. Includes bibliographical references.

Thesis (Ph. D.)--University of Wisconsin, 1966. / eContent provider-neutral record in process. Description based on print version record. Includes bibliographical references (leaves 100-101).

No description available.

This thesis describes various forms of metric spaces and establishes some of the properties of functions defined on metric spaces. No attempt is made in this paper to examine a particular type of function in detail. Instead, some of properties of several kinds of functions will be observed as the functions are defined on various forms of metric spaces such as connected spaces, compact spaces, complete spaces, etc.

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.

by Hung Ching Nam. / Thesis (M.Phil.)--Chinese University of Hong Kong, 1999. / Includes bibliographical references (leaf 100). / Abstracts in English and Chinese. / Chapter 1 --- Introduction --- p.5 / Chapter 2 --- Sobolev spaces of maps into metric space --- p.9 / Chapter 2.1 --- "Lp(Ω,X) spaces" --- p.9 / Chapter 2.2 --- Maps with finite energy --- p.11 / Chapter 2.3 --- Differentiation of maps along a direction --- p.28 / Chapter 2.4 --- Theory of differentiation of maps --- p.35 / Chapter 2.5 --- Trace of maps on Lipschitz domains --- p.48 / Chapter 3 --- Sobolev maps into NPC space --- p.58 / Chapter 3.1 --- NPC space --- p.58 / Chapter 3.2 --- NPC space with curvature bound --- p.69 / Chapter 3.3 --- Sobolev maps into NPC space --- p.71 / Chapter 3.4 --- Tensor inequality for Sobolev maps --- p.77 / Chapter 4 --- Harmonic maps into NPC space --- p.79 / Chapter 4.1 --- Existence and uniqueness of Dirichlet problem --- p.79 / Chapter 4.2 --- Interior Lipschitz continuity of harmonic maps --- p.81 / Chapter 5 --- Equivariant harmonic maps --- p.86 / Chapter 5.1 --- A functional analysis lemma --- p.86 / Chapter 5.2 --- Existence of equivariant harmonic maps --- p.87 / Chapter 5.3 --- Compactification of NPC space --- p.93 / Chapter 5.4 --- Isometric action on CAT(-l) space --- p.96

Habilitationsschrift--Bonn. / Bibliography: p. 81.

No description available.

Thesis (M.S.)--Ohio State University, 2008. / Title from first page of PDF file. Includes bibliographical references (p. 22).