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Homology (mathematics) - Wikipedia
In mathematics, the term homology, originally introduced in algebraic topology, has three primary, closely related usages relating to chain complexes, ...
en.wikipedia.org
en.wikipedia.org
Homology (biology) - Wikipedia
In biology, homology is similarity in anatomical structures or genes between organisms of different taxa due to shared ancestry
en.wikipedia.org
en.wikipedia.org
Homologies - Understanding Evolution
Homologies can be identified by comparing the anatomies of different living things, looking at cellular similarities, studying embryological development, and ...
evolution.berkeley.edu
evolution.berkeley.edu
homology
homology (həʊˈmɒlədʒɪ) [ad. late L. homologia, a. Gr. ὁµολογία agreement, assent, f. ὁµόλογος homologous. Cf. F. homologie.] Homologous quality or condition; sameness of relation; correspondence. 1. In general sense. (Before 19th c. only in Dicts.)1656 Blount Glossogr., Homology, an agreement. 1721 ...
Oxford English Dictionary
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HOMOLOGY Definition & Meaning - Merriam-Webster
1. a : likeness in structure between parts of different organisms due to evolutionary differentiation from the same or a corresponding part of a remote ...
www.merriam-webster.com
www.merriam-webster.com
What is homology anyway? - at.algebraic topology - MathOverflow
One can define homology with coefficients in a sheaf F as the compactly supported cohomology with coefficients in the Verdier dual of F.
mathoverflow.net
mathoverflow.net
Homology (sociology)
However, he "would like to hang on to the notion of homology in a qualified sense.
wikipedia.org
en.wikipedia.org
[PDF] An Introduction to Homology
This paper explores the basic ideas of simplicial structures that lead to simplicial homology theory, and introduces singular homology in order ...
www.math.uchicago.edu
www.math.uchicago.edu
Homology -- from Wolfram MathWorld
Homology is a concept that is used in many branches of algebra and topology. Historically, the term "homology" was first used in a topological sense by Poincar ...
mathworld.wolfram.com
mathworld.wolfram.com
The Search for Common Origin: Homology Revisited - PMC
The search for common origin, traditionally called homology, is a connecting paradigm of all studies related to evolution.
pmc.ncbi.nlm.nih.gov
pmc.ncbi.nlm.nih.gov
About the definition of homology - Mathematics Stack Exchange
The homology groups of X measure how-far the chain complex associated to X is from being exact. I know that homology measure the number of the holes.
math.stackexchange.com
math.stackexchange.com
Necessary condition on homology group for a set to be contractible The ...
The exact meaning of 'Mom made me a sandwich' Why the difference in type-inference over the as-pattern in two similar function definitions...
ttykuu.blogspot.com
Serial homology
Serial homology is a special type of homology, defined by Owen as "representative or repetitive relation in the segments of the same organism." See also
Deep homology
Evolutionary developmental biology
References
Evolutionary biology
Comparative anatomy
wikipedia.org
en.wikipedia.org
Pushforward (homology)
Homology is a functor which converts a topological space into a sequence of homology groups . Definition for singular and simplicial homology
We build the pushforward homomorphism as follows (for singular or simplicial homology):
First we have
wikipedia.org
en.wikipedia.org
Relative homology
Local homology of the cone CX at the origin
One easy example of local homology is calculating the local homology of the cone (topology) of a space at Using the intuition that the local homology group of at captures the homology of "near" the origin, we should expect this is the homology of since
wikipedia.org
en.wikipedia.org