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When is homology not homology? [PDF]

open access: possibleCurrent Opinion in Genetics & Development, 1998
Although genes have specific phenotypic consequences in a given species, this functional relationship can clearly change during the course of evolution. Many cases of evolutionary dissociations between homologous genes and homologous morphological features are now known.
Gregory A. Wray, Ehab Abouheif
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On homology

Cladistics, 2011
AbstractHomology in cladistics is reviewed. The definition of important terms is explicated in historical context. Homology is not synonymous with synapomorphy: it includes symplesiomorphy, and Hennig clearly included both plesiomorphy and synapomorphy as types of homology.
Kevin C, Nixon, James M, Carpenter
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Homologous tails? Or tales of homology?

BioEssays, 2000
Classical mutations at the mouse Brachyury (T) locus were discovered because they lead to shortened tails in heterozygous newborns. no tail (ntl) mutants in the zebrafish, as their name suggests, show a similar phenotype. In Drosophila, mutants in the brachyenteron (byn) gene disrupt hindgut formation.
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Homological stability for completed homology

Mathematische Annalen, 2015
We prove that the completed homology groups of $$\mathrm {GL}_n(\mathbf {Z})$$ in fixed degree stabilize as N goes to infinity.
Matthew Emerton, Frank Calegari
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Homology and persistent homology

2020
Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2020, Director: Francisco Belchí ...
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FLOER HOMOLOGY AND INVARIANTS OF HOMOLOGY COBORDISM

International Journal of Mathematics, 1998
By using surgery techniques, we compute Floer homology for certain classes of integral homology 3-spheres homology cobordant to zero. We prove that Floer homology is two-periodic for all these manifolds. Based on this fact, we introduce a new integer valued invariant of integral homology 3-spheres.
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