Vipul: Created page with "==Definition== A compact connected orientable manifold $M$ of dimension 3 is termed a '''prime 3-manifold''' if the only possible way of expressing $M$ ..."

2011-07-26T04:13:40Z

Created page with "==Definition== A compact connected orientable manifold <math>M</math> of dimension 3 is termed a '''prime 3-manifold''' if the only possible way of expressing <math>M</math>..."

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==Definition==

A [[compact connected orientable manifold]] <math>M</math> of dimension 3 is termed a '''prime 3-manifold''' if the only possible way of expressing <math>M</math> as a [[connected sum of manifolds]], both of dimension 3, is as <math>M \# S^3</math>. In other words, one of the summands of the connected sum must be homeomorphic to <math>M</math> and the other summand must be homeomorphic to the [[3-sphere]] <math>S^3</math>.

Prime 3-manifold - Revision history

Vipul: Created page with "==Definition== A compact connected orientable manifold M of dimension 3 is termed a '''prime 3-manifold''' if the only possible way of expressing M..."

Vipul: Created page with "==Definition== A compact connected orientable manifold $M$ of dimension 3 is termed a '''prime 3-manifold''' if the only possible way of expressing $M$ ..."