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Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 20 of 22 for “"Homeomorphisms"”.
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Local homeomorphisms
… dissertation consists of (A) a history of local homeomorphisms and (B) my research pertaining thereto.</p> <p>In part (A), research concerning local homeomorphisms is traced from 1906—beginning with the work of Hadamard—up to the present. It is shown that a few major questions such as, “When is a …
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Uniformly rigid homeomorphisms
In this dissertation we are interested in the study of dynamical systems that display rigidity and weak mixing. We are particularly interested in the topological analogue of rigidity, called uniform rigidity. A map $T$ defined on a topological space $X$ is called \textit{uniformly rigid} if there …
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A model for groupoids of homeomorphisms
Thesis: Ph. D., Massachusetts Institute of Technology, Department of Mathematics, 1982
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Local Connectivity of the Space of Homeomorphisms of a Non-Compact Manifold
Made available in DSpace on 2014-12-09T22:17:45Z (GMT). No. of bitstreams: 1 6901351.pdf: 2213422 bytes, checksum: 0e15b7d5e2c8a9a69435aedfdb9eed8c (MD5) Previous issue date: 1968
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Cellular mappings on manifolds
… manifold onto itself possess many properties of homeomorphisms. In particular; for n <strong>≠</strong> M, a continuous function defined from a manifold onto itself is cellular if and only if it can be uniformly approximated by homeomorphisms. This thesis is a study of cellular mappings, spaces …
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Simplifying and deforming through hierarchies of simplicial grids
… part we describe an algorithm that constructs homeomorphisms with prescribed area distortion. Such homeomorphisms can be used to generate cartograms, which are geographic maps purposely distorted so its area distribution reflects a variable different from area, as for example population …
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The Beurling-Ahlfors extension and Conformal welding
… the question of whether perhaps all increasing homeomorphisms are welding homeomorphisms. The answer is no and this is shown by the counterexample invented by Bishop.
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Conjugacy Classes of the Piecewise Linear Group
… of all piecewise linear orientation preserving homeomorphisms from the interval to itself under the operation of composition. We present here a complete set of invariants to classify the conjugacy classes of this group. Our approach to this problem relies on the factorization of elements into …
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Centralizers in automorphism groups
… tower representation (the class of such homeomorphisms is large) has trivial centralizer in the group of homeomorphisms of X.
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Random geometry in two and three dimensions
… coordinates called shears on the space of circle homeomorphisms up to Möbius transformations. The Weil–Petersson Teichmüller space is a subspace of this which has been of long-term interest in geometry and string theory and has recent connections to SLE curves in probability. We introduce and …
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Metric Geometry of Finite Subset Spaces
… X^n.</p> <p>Given a space X, let H(X) denote all homeomorphisms of X. For any subclass C of homeomorphisms in H(X), the C-geometry of X refers to the description of X up to homeomorphisms in C. Therefore, the topology of X is the H(X)-geometry of X. By a (C-) geometric property of X we will mean a …
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Transformations preserving tame sets
… for each tame set PcX, f(P) is tame. Tame local homeomorphisms from triangulated n-manifolds into triangulated n-manifolds and tame light open maps of 2-manifolds into themselves are homeomorphisms. Connected complexes are compact if and only if every tame map of the complex into itself has a …
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Open maps and maps onto two-manifolds
… this property. Similar results are obtained for homeomorphisms of other periods. In addition, we show that a periodic homeomorphism of period 2k on an n-manifold which is the identity on a domain must be the identity on the whole manifold, thus extending a result of H. H. &. Newman (10).</p>
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Partial dynamical systems and AF C*-algebras
… characterization consist of partially defined homeomorphisms, and our theorem is applied to obtain a result about crossed product C*-algebras. The ideas developed here are then used to compute the K-theory for AF algebras, and these K-theoretic calculations are applied to some specific examples …
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Topological Dynamics of Automorphism Groups of omega-homogeneous Structures via Near Ultrafilters
… well as of certain closed subgroups of groups of homeomorphisms of Cantor cubes. We furthermore apply our theory to groups of isometries of metric spaces and the problem of unique amenability of topological groups. The theory combines tools from set theory, model theory, Ramsey theory, topological …
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Mappings Between Annuli of Smallest p-Harmonic Energy
… minimizer of the $p$-harmonic energy among homeomorphisms in Sobolev class $W^{1, p}(\A, \A^*)$. For such a mapping, the $p$-harmonic energy is defined by \begin{equation*}</p> <p>\mathcal{E}_p[h] = \int\limits_{\A} |Dh(x)|^p dx</p> <p>\end{equation*} </p> <p>Classical methods fail for …
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On the metric structure of random planar maps and SLE-decorated Liouville quantum gravity
… the sphere, viewed modulo orientation-preserving homeomorphisms. Random planar maps are the discrete analogues of random fractal surfaces called [gamma]-Liouville quantum gravity (LQG) surfaces with parameter [gamma] E (0, 2]. We study the large-scale structure of random planar maps (and …
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Cantor Minimal Systems and Dimension Groups
… in the context of topological spaces and homeomorphisms. Dimension groups provide a classification up to strong orbit equivalence of minimal Z^d-actions on a Cantor set. The range of such dimension groups for d>1 is still an open question. It appears as if symbolic dynamical systems may be …
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Quasiconformal mappings on planar surfaces
… above by K. We show that for the subclass of homeomorphisms that preserves the set of vertical lines, it suffices to just consider squares with sides parallel to the coordinate axes and at forty-five degree angles to the coordinate axes. Another more recent sufficient condition for …
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Dynamics of Polish groups
… In Chapter 2, we show that the group of all homeomorphisms of the Cantor set H(2^N) has ample generics, that is, we show that for every m the diagonal conjugacy action g\cdot (h_1, h_2,...,h_m) = (gh_1g^{-1}, gh_2g^{-1},..., gh_mg^{-1}) of H(2^N) on H(2^N)^m has a comeager orbit. This answers …
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