irreducible n-manifold

An $n$ -manifold (http://planetmath.org/TopologicalManifold) $M$ is calledirreducible if for each embedding of a standard $(n-1)$ -sphere $S^{n-1}$ in $M$ , there is an embedding of a standard $n$ -ball (http://planetmath.org/StandardNBall) $D^{n}$ in $M$ such that theimage of the boundary $\\partial D^{n}$ coincides with the image of $S^{n-1}$ .

In case of dimension three it can be proved that each irreducible3-manifold is also a prime (http://planetmath.org/Prime3Manifold) 3-manifold.

单词	IrreducibleNmanifold
释义	irreducible n-manifold An $n$ -manifold (http://planetmath.org/TopologicalManifold) $M$ is calledirreducible if for each embedding of a standard $(n-1)$ -sphere $S^{n-1}$ in $M$ , there is an embedding of a standard $n$ -ball (http://planetmath.org/StandardNBall) $D^{n}$ in $M$ such that theimage of the boundary $\\partial D^{n}$ coincides with the image of $S^{n-1}$ . In case of dimension three it can be proved that each irreducible3-manifold is also a prime (http://planetmath.org/Prime3Manifold) 3-manifold.
随便看	VariantOfCardanosDerivation variant of Cardano’s derivation VariantOfCauchyIntegralFormula variant of Cauchy integral formula VariantsOfTheEuclidMullinSequence variants of the Euclid-Mullin sequence VariantsOnCompassAndStraightedgeConstructions variants on compass and straightedge constructions Variation variation VariationOfParameters variation of parameters VariationsOnAxiomOfChoice variations on axiom of choice Variety variety VarietyOfGroups variety of groups VaughtsTest Vaught’s test vCunihinsTheorem VeblenFunction Veblen function VeblensTheorem VeblenWedderburnSystem