Results 21 to 30 of about 1,015,655 (285)
On the Axiomatic Systems of Steenrod Homology Theory of Compact Spaces [PDF]
, 2017 On the category of compact metric spaces an exact homology theory was defined and its relation to the Vietoris homology theory was studied by N. Steenrod [S].
Beridze, Anzor, Mdzinarishvili, Leonard
core +3 more sources
Symplectic homology and the Eilenberg-Steenrod axioms [PDF]
, 2018 We give a definition of symplectic homology for pairs of filled Liouville cobordisms, and show that it satisfies analogues of the Eilenberg-Steenrod axioms except for the dimension axiom.
Cieliebak, Kai, Oancea, Alexandru
core +4 more sources
Homology operations in symmetric homology [PDF]
Homology, Homotopy and Applications, 2014 The symmetric homology of a unital associative algebra $A$ over a commutative ground ring $k$, denoted $HS_*(A)$, is defined using derived functors and the symmetric bar construction of Fiedorowicz. In this paper we show that $HS_*(A)$ admits homology operations and a Pontryagin product structure making $HS_*(A)$ an associative commutative graded ...
openaire +2 more sources
Digital homotopy relations and digital homology theories
Applied General Topology, 2021 In this paper we prove results relating to two homotopy relations and four homology theories developed in the topology of digital images. We introduce a new type of homotopy relation for digitally continuous functions which we call ``strong homotopy ...
P. Christopher Staecker
doaj +1 more source
Torsion in one-term distributive homology [PDF]
, 2013 The one-term distributive homology was introduced by J.H.Przytycki as an atomic replacement of rack and quandle homology, which was first introduced and developed by R.Fenn, C.Rourke and B.Sanderson, and J.S.Carter, S.Kamada and M.Saito.
Alissa S. Crans +3 more
core +3 more sources
An interpretation of E n -homology as functor homology [PDF]
Mathematische Zeitschrift, 2010 We prove that E_n-homology of non-unital commutative algebras can be described as functor homology when one considers functors from a certain category of planar trees with n levels. For different n these homology theories are connected by natural maps, ranging from Hochschild homology and its higher order versions to Gamma homology.
Livernet, Muriel, Richter, Birgit
openaire +2 more sources
Canadian Journal of Mathematics, 2003 AbstractFor complex projective manifolds we introduce polar homology groups, which are holomorphic analogues of the homology groups in topology. The polar k-chains are subvarieties of complex dimension k with meromorphic forms on them, while the boundary operator is defined by taking the polar divisor and the Poincaré residue on it. One can also define
Khesin, B., Rosly, A.
openaire +3 more sources
Nitrogenase and homologs [PDF]
JBIC Journal of Biological Inorganic Chemistry, 2014 Nitrogenase catalyzes biological nitrogen fixation, a key step in the global nitrogen cycle. Three homologous nitrogenases have been identified to date, along with several structural and/or functional homologs of this enzyme that are involved in nitrogenase assembly, bacteriochlorophyll biosynthesis and methanogenic process, respectively.
Hu, Yilin, Ribbe, Markus W
openaire +4 more sources
Pixel-Level Clustering of Hematoxylin–Eosin-Stained Sections of Mouse and Human Biliary Tract Cancer
Biomedicines, 2022 We previously established mouse models of biliary tract cancer (BTC) based on the injection of cells with biliary epithelial stem cell properties derived from KRAS(G12V)-expressing organoids into syngeneic mice.
Haruki Inoue +6 more
doaj +1 more source
Homology stratifications and intersection homology [PDF]
Geometry & Topology Monographs, 1999 A homology stratification is a filtered space with local homology groups constant on strata. Despite being used by Goresky and MacPherson [Intersection homology theory: II, Inventiones Mathematicae, 71 (1983) 77-129] in their proof of topological invariance of intersection homology, homology stratifications do not appear to have been studied in any ...
Rourke, Colin, Sanderson, Brian
openaire +2 more sources