Relative Homology Groups

Algebraic Topology · Axiom Academy

LESSON Relative Homology Groups H n (X,A), chains mod chains in A For A ⊂ X, we form the relative chain groups : The boundary map descends to the quotient: 3. Relative Cycles and Boundaries Relative cycles and boundaries: 4. Definition of Relative Homology The relative homology groups are: H n (X,A) measures "new" homology in X relative to A Foundation for long exact sequence

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