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When is homology not homology?

Current 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.
G A, Wray, E, Abouheif
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Möbius homology

Transactions of the American Mathematical Society
This paper introduces and develops Möbius homology , a homology theory for representations of finite posets into abelian categories. Although the connection between poset topology and Möbius functions is classical, we go further by establishing a direct connection between poset topology and ...
Amit Patel, Primoz Skraba
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Homological stability for completed homology

Mathematische Annalen, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Calegari, Frank, Emerton, Matthew
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Homologous Insemination

Fertility and Sterility, 1978
Between July 1, 1969, and October 31, 1977, 619 patients were evaluated for infertility. Homologous insemination (AIH) was employed in 53 patients, many of whom had other contributory causes of infertility. There have been 14 single pregnancies in 11 women, including 4 spontaneous abortions, 1 ectopic pregnancy, 8 term deliveries, and 1 pregnancy in ...
W C, Nunley   +2 more
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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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From Leibniz Homology to Cyclic Homology

K-Theory, 2002
Given an algebra \(A\), the author constructs a natural homomorphism \(HL_{\ast+1}(A)\to HH_\ast(A)\) from Leibniz to Hochschild homology. If \(f: A\to B\) is a homorphism of algebras, the relative Leibniz homology \(HL_\ast(gl(f))\) is defined and a natural homomorphism \(HL_{\ast+1}(gl(f))\to HC_\ast(F)\) to relative cyclic homology is studied. Thus,
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Homology Invariants

Canadian Journal of Mathematics, 1978
There have been few published results concerning the relationship between the homology groups of branched and unbranched covering spaces of knots, despite the fact that these invariants are such powerful invariants for distinguishing knot types and have long been recognised as such [8]. It is well
Hartley, Richard, Murasugi, Kunio
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Homology and errors

Cladistics, 2012
AbstractA recent review of the homology concept in cladistics is critiqued in light of the historical literature. Homology as a notion relevant to the recognition of clades remains equivalent to synapomorphy. Some symplesiomorphies are “homologies” inasmuch as they represent synapomorphies of more inclusive taxa; others are complementary character ...
Andrew V Z, Brower, Mario C C, de Pinna
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Homology and misdirection

Cladistics, 2014
AbstractHennig (1966) recognized symplesiomorphies as homologies, and that view is logically correct under the concept of homology (homogeny) prevalent among evolutionists since 1870. Nelson and Platnick (1981) instead wanted homology to exclude symplesiomorphies for reasons that they never made clear but which certainly included opposition to Hennig ...
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