Homologically Euclidean point: Difference between revisions

Revision as of 17:47, 2 December 2007

A point $p$ in a topological space $M$ is termed homologically $n$ -Euclidean if:

$H_{n}(M,M\setminus p)=\mathbb {Z}$

and:

$H_{i}(M,M\setminus p)=0\ \forall \ i\neq n$

In particular any point in a $n$ -manifold or a $n$ -locally Euclidean space is homologically $n$ -Euclidean.

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	In particular any point in a <math>n</math>-[[manifold]] or a <math>n</math>-[[locally Euclidean space]] is homologically <math>n</math>-Euclidean.		In particular any point in a <math>n</math>-[[manifold]] or a <math>n</math>-[[locally Euclidean space]] is homologically <math>n</math>-Euclidean.

			See also [[point-deletion inclusion]].