relative homology groups
The homology groups of this complex , are called the relative homology groups of the pair . Under relatively mild hypotheses, where is the set of equivalence classes of the relation if or if , given the quotient topology (this is essentially , with reduced to a single point). Relative homology groups are important for a number of reasons, principally for computational ones, since they fit into long exact sequences, which are powerful computational tools in homology.
|Title||relative homology groups|
|Date of creation||2013-03-22 13:14:47|
|Last modified on||2013-03-22 13:14:47|
|Last modified by||bwebste (988)|