Volodin space (original) (raw)
In mathematics, more specifically in topology, the Volodin space of a ring R is a subspace of the classifying space given by where is the subgroup of upper triangular matrices with 1's on the diagonal (i.e., the unipotent radical of the standard Borel) and a permutation matrix thought of as an element in and acting (superscript) by conjugation. The space is acyclic and the fundamental group is the Steinberg group of R. In fact, showed that X yields a model for Quillen's plus-construction in algebraic K-theory.
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| dbo:abstract | In mathematics, more specifically in topology, the Volodin space of a ring R is a subspace of the classifying space given by where is the subgroup of upper triangular matrices with 1's on the diagonal (i.e., the unipotent radical of the standard Borel) and a permutation matrix thought of as an element in and acting (superscript) by conjugation. The space is acyclic and the fundamental group is the Steinberg group of R. In fact, showed that X yields a model for Quillen's plus-construction in algebraic K-theory. (en) Inom topologin, ett delområde av matematiken, är Volodinrummet av en ring R ett delrum av det som ges av där är delgruppen av uppåt triangulära matriser med ettor i diagonalen och en permutationsmatris sedd som ett element av som verkar med konjugation. Rummet är och fundamentalgruppen är Steinberggrupp av R. Faktiskt förklarade Suslins uppsats att X ger en modell för i algebraisk K-teori. (sv) |
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| rdfs:comment | In mathematics, more specifically in topology, the Volodin space of a ring R is a subspace of the classifying space given by where is the subgroup of upper triangular matrices with 1's on the diagonal (i.e., the unipotent radical of the standard Borel) and a permutation matrix thought of as an element in and acting (superscript) by conjugation. The space is acyclic and the fundamental group is the Steinberg group of R. In fact, showed that X yields a model for Quillen's plus-construction in algebraic K-theory. (en) Inom topologin, ett delområde av matematiken, är Volodinrummet av en ring R ett delrum av det som ges av där är delgruppen av uppåt triangulära matriser med ettor i diagonalen och en permutationsmatris sedd som ett element av som verkar med konjugation. Rummet är och fundamentalgruppen är Steinberggrupp av R. Faktiskt förklarade Suslins uppsats att X ger en modell för i algebraisk K-teori. (sv) |
| rdfs:label | Volodin space (en) Volodinrum (sv) |
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