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Well-separated pair decompositions for doubling metric spaces /Xu, Daming, January 1900 (has links)
Thesis (M.C.S.) Carleton University, 2005. / Includes bibliographical references (p. 36-41). Also available in electronic format on the Internet.
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Über uniforme RäumeUcsnay, Peter. January 1971 (has links)
Habilitationsschrift--Bonn. / Bibliography: p. 81.
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Urysohn ultrametric spaces and isometry groupsShao, Chuang. Gao, Su, January 2009 (has links)
Thesis (Ph. D.)--University of North Texas, May, 2009. / Title from title page display. Includes bibliographical references.
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Gluing spaces and analysisPaulik, Gustav. January 2005 (has links)
Thesis (doctoral)--Rheinische Friedrich-Wilhelms-Universität Bonn, 2004. / Includes bibliographical references (p. 99-102).
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Directed metric spaces /Shook, Thurston Woolever January 1968 (has links)
No description available.
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Riemannian geometry of compact metric spacesPalmer, Ian Christian 21 May 2010 (has links)
A construction is given for which the Hausdorff measure and dimension of an arbitrary abstract compact metric space (X, d) can be encoded in a spectral triple. By introducing the concept of resolving sequence of open covers, conditions are given under which the topology, metric, and Hausdorff measure can be recovered from a spectral triple dependent on such a sequence. The construction holds for arbitrary compact metric spaces, generalizing previous results for fractals, as well as the original setting of manifolds, and also holds when Hausdorff and box dimensions differ---in particular, it does not depend on any self-similarity or regularity conditions on the space. The only restriction on the space is that it have positive s₀ dimensional Hausdorff measure, where s₀ is the Hausdorff dimension of the
space, assumed to be finite. Also, X does not need to be embedded in another space, such as Rⁿ.
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Ekeland's variational principle and some of its applicationsGhallab, Yasmine January 1988 (has links)
No description available.
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An ultrametric geometryDiodato, Virgil Pasquale January 1977 (has links)
This thesis verified that metric spaces can be constructed using ultrametrics d and D, where d(x,y) = 0 if x = y and d(x,y) = (1/2) k if x not equal to y, such that x-y = 2k(a/b) for a,b relatively prime to 2, and where D(A,B)= max(d(al,bl); d(a2,b2)) for A = (al,a2) and B = (bl,b2).Assuming that a line is represented by some linear equation, a one-dimensional point was defined as an element of Q and a two-dimensional point as an element of Q x Q. There was an investigation of one-dimensional points with respect to the behavior of segments, midpoints, and distances as measured by d. The function D demonstrated the behavior of midpoints, medians, and triangles, as well as the congruence relation. The study necessitated the introduction of pseudomidpoints and pseudomedians, and an unorthodox definition of angle measurement.
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Property A as metric amenability and its applications to geometryNowak, Piotr W. January 2008 (has links)
Thesis (Ph. D. in Mathematics)--Vanderbilt University, May 2008. / Title from title screen. Includes bibliographical references.
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Asymptotic behavior and Denjoy-Wolff theorems for Hilbert metric nonexpansive mapsLins, Brian C. January 2007 (has links)
Thesis (Ph. D.)--Rutgers University, 2007. / "Graduate Program in Mathematics." Includes bibliographical references (p. 82-85).
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