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Yanghyun Byun 《Foundations of Physics》2004,34(6):987-1003
We consider a representation of the state reduction which depends neither on its reality nor on the details of when and how it emerges. Then by means of the representation we find necessary conditions, even if not the sufficient ones, for a decomposition of the state vector space to be a solution to the basis problem. The conditions are that the decomposition should be Lorentz invariant and orthogonal and that the associated projections should be continuous. They are shown to be able to determine a decomposition in each of a few examples considered if the other circumstances are taken into account together. 相似文献
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Yanghyun Byun 《Topology》2007,46(5):507-525
We construct a sphere fibration over a finite aspherical Poincaré complex X, which we call the tangential end fibration, under the condition that the universal cover of X is forward tame and simply connected at infinity. We show that it is tangent to X if the formal dimension of X is even or, when the formal dimension is odd, if the diagonal X→X×X admits a Poincaré embedding structure. 相似文献
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There is a homotopy equivalence :MM' between closed smooth manifoldsof an odd dimension such that *TM', TM are stably isomorphicbut not isomorphic to each other. 相似文献
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Yanghyun?ByunEmail author Dosang?Joe Jeong?Seog Ryu Seunghun?Yi 《Mathematische Zeitschrift》2003,245(3):435-453
We investigate the possibility of a Lagrangian Whitney trick, a process to remove a pair of intersection points of a self-transverse Lagrangian immersion by a homotopy through Lagrangian immersions. There is a model for which a Lagrangian Whitney trick with compact support works assuming the model satisfies an area-capacity condition. Reduction of more general cases to the model, not necessarily fulfilling the area-capacity requirement, is possible if the given pair of double points admits a suitable symplectic disc and a certain Maslov-Viterbo index is 1. We look into an example to see the actualities of the Maslov-Viterbo index and the area-capacity conditions.
The authors would like to thank the anonymous referee whose suggestions improved remarkably the exposition of the paper. This work was supported by the grant no.R01-2000-000-00004-0 from Korea Science & Engineering Foundation. 相似文献
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Yanghyun Byun 《Transactions of the American Mathematical Society》1996,348(8):3085-3095
Let be the evaluation subgroup as defined by Gottlieb. Assume the Hurewicz map is non-trivial and is a field. We will prove: if is a Poincaré complex oriented in -coefficient, all the characteristic numbers of in -coefficient vanish. Similarly, if and is a -Poincaré complex, then all the mod Wu numbers vanish. We will also show that the existence of a non-trivial derivation on with some suitable conditions implies vanishing of mod Wu numbers.
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Yanghyun Byun 《Transactions of the American Mathematical Society》1998,350(9):3537-3553
There is a Poincaré embedding structure on the diagonal under the conditions: i) is formed by gluing two compact smooth manifolds along their boundaries using a homotopy equivalence and ii) a square-root closed condition is satisfied by the fundamental groupoid of the boundary.
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The unstable tangent fibration of a Poincaré complexis defined so that it is consistent with the manifold case.It exists uniquely for each Poincaré complex X up tofibrewise homotopy equivalence and, furthermore, if a Poincaréembedding structure exists on the diagonal XXxX, its normalfibration is the tangent fibration. 相似文献
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