Relative Homology
For a subspace, the relative homology Hn(X, A) is understood to be the homology of the quotient of the chain complexes, that is,
where the quotient of chain complexes is given by the short exact sequence
Read more about this topic: Singular Homology
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“Excellence or virtue is a settled disposition of the mind that determines our choice of actions and emotions and consists essentially in observing the mean relative to us ... a mean between two vices, that which depends on excess and that which depends on defect.”
—Aristotle (384–323 B.C.)
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