In mathematics, the Suslin homology is a homology theory attached to algebraic varieties. It was proposed by Suslin in 1987, and developed by Suslin and Voevodsky (1996). It is sometimes called singular homology as it is analogous to the singular homology of topological spaces.
By definition, given an abelian group A and a scheme X of finite type over a field k, the theory is given by
where C is a free graded abelian group whose degree n part is generated by integral subschemes of , where is an n-simplex, that are finite and surjective over .
mathematics, the Suslinhomology is a homology theory attached to algebraic varieties. It was proposed by Suslin in 1987, and developed by Suslin and Voevodsky (1996)...
Alexander Suslin (died 1349), German Orthodox rabbi and Talmudist Andrei Suslin (1950–2018), Russian mathematician known for Suslinhomology Quillen–Suslin theorem...
Mathematicians in Berlin. He coauthored (with Andrei Suslin and Eric M. Friedlander) Cycles, Transfers and Motivic Homology Theories, which develops the theory of motivic...
result and Suslin rigidity to reprove Quillen's computation of the K-theory of finite fields. Noncommutative geometry Boris L. Tsygan. Homology of matrix...
dimension. Finally, Voevodsky (building on his work with Suslin) defined the four types of motivic homology and motivic cohomology in 2000, along with the derived...
(Adem & Milgram 2004), Chapter II. (Brown 1972), §VI.9 Suslin, Andrei A. (1984), "Homology of GL n {\displaystyle \operatorname {GL} _{n}} , characteristic...
group St ( R ) {\displaystyle \operatorname {St} (R)} of R. In fact, Suslin (1981) showed that X yields a model for Quillen's plus-construction B G...
functional analysis, ECM Paris 1992, Birkhäuser, Progress in Mathematics, 1994 Suslin, Andrei A.; Wodzicki, Mariusz (1992). "Excision in algebraic K-theory"....
articles. In 1977 he published an analogue of a 1977 theorem of Andrei Suslin and a generalization of a 1969 theorem of Hideya Matsumoto. In 1978 van...
homological stability is any of a number of theorems asserting that the group homology of a series of groups G 1 ⊂ G 2 ⊂ ⋯ {\displaystyle G_{1}\subset G_{2}\subset...
his students is David A. Cox. With Andrei Suslin and Vladimir Voevodsky, Cycles, Transfers and Motivic Homology Theories, Annals of mathematical studies...
Scholia has a profile for Daniel Quillen (Q369658). Quillen, Daniel G. "Homology of commutative rings". unpublished notes. Archived from the original on...
Levine, M. (12 January 2001). "The Bloch-Kato conjecture and a theorem of Suslin-Voevodsky". Journal für die reine und angewandte Mathematik (Crelle's Journal)...
Albanese variety of X coincide. Replacing the Chow group by Suslin–Voevodsky algebraic singular homology after the introduction of Motivic cohomology Roitman's...
nonempty open intervals in R is countable. In order theory, the famous Suslin problem asks whether every linear continuum satisfying the countable chain...
Does the generalized continuum hypothesis imply the existence of an ℵ2-Suslin tree? If ℵω is a strong limit cardinal, is 2 ℵ ω < ℵ ω 1 {\displaystyle...
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