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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 28 for “"Homeomorphism"”.
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Transitive Homeomorphism Groups
Made available in DSpace on 2015-05-12T17:09:34Z (GMT). No. of bitstreams: 2 license.txt: 4848 bytes, checksum: 96035ab3f5e1c23cc7138a224ce498bd (MD5) 0005961.PDF: 1411536 bytes, checksum: 9d73bb61d78d90fc6368b09e6c2c57f7 (MD5) Previous issue date: 1953
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Braid Groups on Graphs
… a given four strand tree braid group B 4T up to homeomorphism. Thus tree braid groups B4T and trees T (up to homeomorphism) are in bijective correspondence. We use this bijection to solve a version of the isomorphism problem for tree braid groups with n = 4 strands.
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Low dilatation pseudo-anosovs on punctured surfaces and volume
For a pseudo-Anosov homeomorphism f on a closed surface of genus g greater of equals to 2, for which the entropy is on the order 1/g (the lowest possible order), Farb-Leininger-Margalit showed that the volume of the mapping torus is bounded, independent of g. We show that the analogous result fails …
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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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Transformations preserving tame sets
… triangulation, then P is tame in X if there is a homeomorphism h of X onto itself and another triangulation of X in which h(P) is a polyhedron. A function from one complex X into a complex is called tame and is said to preserve tame sets if for each tame set PcX, f(P) is tame. Tame local …
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Open maps and maps onto two-manifolds
… is determined that the orbit map of a periodic homeomorphism of period 2k has 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 …
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The Beurling-Ahlfors extension and Conformal welding
… that every quasisymmetric function is a welding homeomorphism. Conformal weldings appear naturally in Teichmüller theory when we consider the conditions under which two Riemann surfaces can be joined together. In the second chapter we investigate the properties of quasisymmetric and …
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A New Family of Symmetric Constant Mean Curvature Surfaces
… chapters take many steps to show this map is a homeomorphism. It is shown that, given that the fundamental piece of the surface is a graph over a vertical plane, the map is a homeomorphism. The developed way of thinking can very likely be adapted to other families of symmetric CMC surfaces in …
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Centralizers in automorphism groups
… chapter, we introduce the notion of a rank-1 homeomorphism of a zero-dimensional Polish space X, analogous in many ways to a rank-1 invertible measure-preserving transformation. We show that every rank-1 homeomorphism with a non-repeating tower representation (the class of such homeomorphisms …
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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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Local properties of transitive quasi-uniform spaces
… the Appendix are concerned with the topological homeomorphism groups of quasi-uniform spaces.
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Orbifold points on Teichmüller curves and Jacobians with complex multiplication
… and [Mc3], completes the determination of the homeomorphism type of WD and gives a formula for the genus of its components. We use our formula to give bounds on the genus of WD and determine the Weierstrass curves of genus zero. We will also give several explicit descriptions of each surface …
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Two-step coding theorem in the nearly continuous category
… measure μ and an ergodic measure-preserving homeomorphism T on X . Let ƒ : X → R be a positive, nearly continuous function bounded away from 0 and ∞. This gives rise to a flow built over T under the function ƒ in the nearly continuous category. Rudolph proved a representation theorem in the …
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On the representation theory of persistence modules
… $T$ equipped with the order topology. Using this homeomorphism we then study its further properties. The second subject concerns the theory of middle exact representations: We generalise and discuss the notions of middle exactness and block representations from two- to three-parameter persistence …
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Differentiable volume rendering using signed distance functions
… can optimize between geometry of different homeomorphism classes in a variety of image-based shape fitting tasks.
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The Space of Left Orders on a Group
… uncountable. We prove the latter by creating a homeomorphism from the group to the Cantor set, a set which is known for its uncountability.
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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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Characterization and properties of some light-open mappings
… the set of points at which f fails to be a local homeomorphism.</p> <p>This generalizes a result of Edmonds (Branched Coverings and the Geometry of n - circuits, to appear.)</p>
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The geometry of end-periodic mapping tori
… finitely many ends and consider an end-periodic homeomorphism $f$ of S. The end-periodicity of $f$ ensures that $M_f$, its associated mapping torus, has a compactification as a $3$-manifold with boundary; further, if $f$ is atoroidal, then $M_f$ admits a hyperbolic metric. Such maps admit …
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Visualizing Geometric Structures on Topological Surfaces
… torus has only one possible presentation, up to homeomorphism; the case for the genus 2 surface is more complicated. We prove that an octagon representing a genus 2 surface can have its edges identified in different combinations to produce exactly four different possible presentations of …
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