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Stable normal bundle information


In surgery theory, a branch of mathematics, the stable normal bundle of a differentiable manifold is an invariant which encodes the stable normal (dually, tangential) data. There are analogs for generalizations of manifold, notably PL-manifolds and topological manifolds. There is also an analogue in homotopy theory for Poincaré spaces, the Spivak spherical fibration, named after Michael Spivak.[1]

  1. ^ Spivak, Michael (1967), "Spaces satisfying Poincaré duality", Topology, 6 (6): 77–101, doi:10.1016/0040-9383(67)90016-X, MR 0214071

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Stable normal bundle

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branch of mathematics, the stable normal bundle of a differentiable manifold is an invariant which encodes the stable normal (dually, tangential) data...

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Normal bundle

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geometry, a field of mathematics, a normal bundle is a particular kind of vector bundle, complementary to the tangent bundle, and coming from an embedding (or...

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Normal invariant

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of a closed manifold. In particular, X has a good candidate for a stable normal bundle and a Thom collapse map, which is equivalent to there being a map...

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Tubular neighborhood

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to produce analogs to the normal bundle, or rather to the stable normal bundle, which are replacements for the tangent bundle (which does not admit a direct...

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Michael Spivak

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Houston, TX: Publish or Perish. ISBN 978-0-914098-32-4. MR 2761185. Stable normal bundle Spivak pronoun Michael Spivak at the Mathematics Genealogy Project...

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Right bundle branch block

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A right bundle branch block (RBBB) is a heart block in the right bundle branch of the electrical conduction system. During a right bundle branch block...

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Manifold

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and there is no intrinsic notion of a normal bundle, but instead there is an intrinsic stable normal bundle. The n-sphere Sn is a generalisation of...

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Complex cobordism

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over X {\displaystyle X} with a complex linear structure on the stable normal bundle. Complex bordism is a generalized homology theory, corresponding...

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Vector bundle

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In mathematics, a vector bundle is a topological construction that makes precise the idea of a family of vector spaces parameterized by another space X...

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Humble Bundle

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Humble Bundle, Inc. is a digital storefront for video games, which grew out of its original offering of Humble Bundles, collections of games sold at a...

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Left bundle branch block

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the left bundle branch means that it takes longer than normal for the left ventricle to fully depolarise. This can be due to a damaged bundle branch that...

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Bundle branch block

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A bundle branch block is a partial or complete interruption in the flow of electrical impulses in either of the bundle branches of the heart's electrical...

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Bradycardia

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initially at the SA node now flows through the His-Purkinje system. The bundle of His originates in the AV node and rapidly splits into a left and right...

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Parallelizable manifold

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trivialisation of the normal bundle, and also for an abstract (that is, non-embedded) manifold with a given stable trivialisation of the tangent bundle. A related...

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Coherent sheaf

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moduli of stable vector bundles in many specific cases, such as on principally polarized abelian varieties and K3 surfaces. A vector bundle E {\displaystyle...

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Nonabelian Hodge correspondence

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a stable vector bundle. A Higgs bundle is polystable if it is a direct sum of stable Higgs bundles of the same slope, and is therefore semi-stable. The...

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Tachycardia

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Tachycardia, also called tachyarrhythmia, is a heart rate that exceeds the normal resting rate. In general, a resting heart rate over 100 beats per minute...

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Gauss map

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tangent k-planes in the tangent bundle TM. The target space for the Gauss map N is a Grassmann bundle built on the tangent bundle TM. In the case where M =...

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Ventricular tachycardia

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supraventricular tachycardias with aberrant conduction from a pre-existing bundle branch block are commonly misdiagnosed as ventricular tachycardia. Other...

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Arrhythmia

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pumping chambers). The impulse then spreads through both ventricles via the bundle of His and the Purkinje fibers causing a synchronized contraction of the...

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Thom space

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and differential topology is a topological space associated to a vector bundle, over any paracompact space. One way to construct this space is as follows...

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Atrioventricular block

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nodes, the electrical signal travels through Bundle of His and divides into the right bundle and left bundle, which are located within the interventricular...

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Left axis deviation

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pacemaker-generated paced rhythm. Normal variation causing LAD is an age-related physiologic change. Conduction defects such as left bundle branch block or left anterior...

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Cardiac physiology

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the atrioventricular node, the bundle of His (atrioventricular bundle), the bundle branches, and the Purkinje cells. Normal sinus rhythm is established by...

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Angina

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this way, stable angina may be thought of as being similar to intermittent claudication symptoms. Other recognized precipitants of stable angina include...

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List of cohomology theories

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group is Z.) Stable homotopy is closely related to cobordism of framed manifolds (manifolds with a trivialization of the normal bundle). Spectrum: MO...

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