11. One of the key ideas in bioinformatics is the notion of homology . 12. One of the main ways that genomes are compared is by homology . 13. And the trivial part implies vanishing homology for dimensions greater than 2. 14. In particular ? is injective so homology of dimension 2 also vanishes. 15. Conserved motifs do, however, support an evolutionary homology among enzymes. 16. This spectrum corresponds to the standard homology and cohomology theory. 17. The Jones polynomial is described as the Euler characteristic for this homology . 18. The graded Euler characteristic of knot Floer homology is the Alexander polynomial. 19. A perfect group is one whose first integral homology vanishes. 20. A superperfect group is one whose first two integral homology groups vanish.