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What (who) is K-homology - definition
K-homology
In mathematics, K-homology is a homology theory on the category of locally compact Hausdorff spaces. It classifies the elliptic pseudo-differential operators acting on the vector bundles over a space.
Homology (mathematics)
TOPOLOGICAL INVARIANTS
Homology group; Homology theory; Homology class; Homology groups; Homology theories; Homology of a chain complex; Betti group
In mathematics, homologyin part from Greek ὁμός homos "identical" is a general way of associating a sequence of algebraic objects, such as abelian groups or modules, with other mathematical objects such as topological spaces. Homology groups were originally defined in algebraic topology.
homolog
![The [[ABC model of flower development]]. Class A genes affect [[sepal]]s and [[petal]]s, class B genes affect [[petal]]s and [[stamen]]s, class C genes affect stamens and [[carpel]]s. In two specific whorls of the floral [[meristem]], each class of organ identity genes is switched on.](https://commons.wikimedia.org/wiki/Special:FilePath/ABC flower developement.svg?width=200 "The [[ABC model of flower development]]. Class A genes affect [[sepal]]s and [[petal]]s, class B genes affect [[petal]]s and [[stamen]]s, class C genes affect stamens and [[carpel]]s. In two specific whorls of the floral [[meristem]], each class of organ identity genes is switched on.")
![analogous]] but not homologous to an insect's wings.](https://commons.wikimedia.org/wiki/Special:FilePath/Acer pseudoplatanus MHNT.BOT.2004.0.461.jpg?width=200 "analogous]] but not homologous to an insect's wings.")
![segmentation]]](https://commons.wikimedia.org/wiki/Special:FilePath/Arthropod segment Hox gene expression.svg?width=200 "segmentation]]")
![The [[Cretaceous]] snake ''[[Eupodophis]]'' had hind legs (circled).](https://commons.wikimedia.org/wiki/Special:FilePath/Eupodophis at Royal Belgian Institute of Natural Sciences, Brussels.jpg?width=200 "The [[Cretaceous]] snake ''[[Eupodophis]]'' had hind legs (circled).")
![''[[pax6]]'' alterations result in similar changes to eye morphology and function across a wide range of taxa.](https://commons.wikimedia.org/wiki/Special:FilePath/PAX6 Phenotypes Washington etal PLoSBiol e1000247.png?width=200 "''[[pax6]]'' alterations result in similar changes to eye morphology and function across a wide range of taxa.")
![[[Dominance hierarchy]] behaviour, as in these [[weeper capuchin]] monkeys, may be homologous across the [[primates]].](https://commons.wikimedia.org/wiki/Special:FilePath/Weeper Capuchin 01 (cropped).JPG?width=200 "[[Dominance hierarchy]] behaviour, as in these [[weeper capuchin]] monkeys, may be homologous across the [[primates]].")
![One [[pinnate]] leaf of [[European ash]]](https://commons.wikimedia.org/wiki/Special:FilePath/EurAshLeaf.jpg?width=200 "One [[pinnate]] leaf of [[European ash]]")
![palm]] leaf](https://commons.wikimedia.org/wiki/Special:FilePath/Detail on a palm frond (8297623365).jpg?width=200 "palm]] leaf")
![spines]] in ''[[Fouquieria splendens]]''](https://commons.wikimedia.org/wiki/Special:FilePath/Ocotillothron02262006.JPG?width=200 "spines]] in ''[[Fouquieria splendens]]''")
![The very large leaves of the banana, ''[[Musa acuminata]]''](https://commons.wikimedia.org/wiki/Special:FilePath/Musa acuminata Gran Canaria 2.JPG?width=200 "The very large leaves of the banana, ''[[Musa acuminata]]''")
![storage]] leaf of ''[[Aloe]]''](https://commons.wikimedia.org/wiki/Special:FilePath/Split Aloe.jpg?width=200 "storage]] leaf of ''[[Aloe]]''")
![Insect-trapping leaf of [[Venus flytrap]]](https://commons.wikimedia.org/wiki/Special:FilePath/Venus Flytrap showing trigger hairs.jpg?width=200 "Insect-trapping leaf of [[Venus flytrap]]")
![Insect-trapping leaf of [[pitcher plant]]](https://commons.wikimedia.org/wiki/Special:FilePath/Nepenthes muluensis.jpg?width=200 "Insect-trapping leaf of [[pitcher plant]]")
![Food storage leaves in an [[onion]] [[bulb]]](https://commons.wikimedia.org/wiki/Special:FilePath/Onions 002.jpg?width=200 "Food storage leaves in an [[onion]] [[bulb]]")
EXISTENCE OF SHARED ANCESTRY BETWEEN A PAIR OF STRUCTURES, OR GENES, IN DIFFERENT TAXA
Homolog; Homologous pair; Phylogenetic homology; Homologous structure; Homologous structures; Homology (evolutionary biology); Homology (evolution); Biological analogy; Homologous Structures; Homology (trait); Homologous organ; Homology in arthropods; Homology in plants; Homology in behavior; Homology in mammals; Developmental homology; Arthropod homology; Mammal homology; Plant homology; Principle of connections; Biological homology
¦ noun US variant spelling of homologue.
