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5. Homology 

This section provides information about work with homology feature.

5.1 Complexes and homology

5.2 Complex morphism

5.3 Exact sequences

 

5.1 Complexes and homology

Create and select the sequence of  Abelian groups and differentials.

 

 

Put on desktop a component. On its property editor press the "Create homology" button. Then homology groups should be appear below.

 

 

5.2 Complex morphisms

Create two complexes if they are not created. Link them by arrow.

 

Then select morphisms between abelian groups.

Open prorerty editor of the arrow and press the "Create homomophism from selected arrow" button. You have a complex morphism. If you press "Create homology homorphism" then you have following homomorphism of  homology.

 

5.3 Exact Sequences

Create exact sequence of to complex morphisms (left and center in picture below), select sequence morphisms and choose Wisards/Homology/Exact homology sequence menu option. Then you have exact sequence (right on the picture below)



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