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Showing 1 to 12 of 12 for “"Manifolds (Mathematics)"”.
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Orbit maps of local S¹- actions on manifolds of dimension less than five
… of locally smooth S<sup>1</sup>-actions on PL 4-manifolds can be studied. Under certain conditions the orbit structure of such an action is shown to determine the action up to equivalence over the orbit space. More generally, given a 3-manifold M*, constructions are given for all locally smooth …
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Monotone, monotone open, and light open mappings on manifolds
… be compact connected p.1. (piecewise linear) manifolds with m ≥ 3. The first result is that a mapping f from M to N is homotopic to a monotone map of M onto N if and only if f<sub>*</sub>:π1(M) -—> π1 (N) is a surjection (mapping = map = continuous function). There are two results of a …
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Characterization and properties of some light-open mappings
… open map f:X ⇒Y between connected separable n-manifolds without boundary is the orbit map of a group action if and only if f|x - f<sup>-1</sup>(f(B<sub>f</sub>)) is a regular covering where B<sub>f</sub> is the set of points at which f fails to be a local homeomorphism.</p> <p>This generalizes …
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Cellular mappings on manifolds
… of cellular mappings for spaces which are not manifolds.</p> <p>In Chapter one we prove that the space of cellular mappings from a manifold onto itself is a topological semi-group and that the space of all cellular mappings of B<sup>n</sup> onto itself which are the identity on the boundary is …
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Localization and Heegaard Floer Homology
… invariants of cyclic branched covers of three-manifolds and symmetry groups of knots by constructing localization spectral sequences in Heegaard Floer homology.
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Bordered Heegaard Floer Homology, Satellites, and Decategorification
… with the analogous invariants for closed 3-manifolds. We study the TQFT properties of this invariant corresponding to gluing, as well as its connections to sutured Floer homology. As one application, we show that the pairing theorem for bordered Floer homology categorifies the classical …
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The Bing sphere characterization and applications of brick partitioning
<p>The classification of topological spaces is an interesting but difficult process. It began with the characterization of the arc as a non-degenerate Peano space having at most two non-cut points; proceeded naturally to S<sup>1</sup>, and then to S<sup>2</sup>. Characterization of higher …
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The electrodynamics of spatially stationary objects
Not available
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Group actions, cobordisms, and other aspects of 4-manifold theory through the eyes of Floer homology
Thesis (Ph. D.)--Michigan State University. Mathematics, 2010
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Bordered Sutured Floer Homology
… two versions of Heegaard Floer homology for 3-manifolds with boundary--the sutured Floer homology of Juhasz, and the bordered Heegaard Floer homology of Lipshitz, Ozsvath, and Thurston. We define a new invariant called Bordered sutured Floer homology which encompasses these two invariants as …
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Pitchfork bifurcations of invariant manifolds
… properties of fixed points and invariant manifolds of dynamical systems. A pitchfork bifurcation in R is said to have occurred when a stable fixed point becomes unstable and two new stable fixed points, separated by the unstable fixed point come into existence. In this thesis, a pitchfork …