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Topological methods in combinatorial geometry. (English. Russian original) Zbl 1200.52001
Russ. Math. Surv. 63, No. 6, 1031-1078 (2008); translation from Usp. Mat. Nauk 63, No. 6, 39-90 (2008).

MSC:
52-02 Research exposition (monographs, survey articles) pertaining to convex and discrete geometry
05-02 Research exposition (monographs, survey articles) pertaining to combinatorics
55-02 Research exposition (monographs, survey articles) pertaining to algebraic topology
05B99 Designs and configurations
52A20 Convex sets in \(n\) dimensions (including convex hypersurfaces)
52A35 Helly-type theorems and geometric transversal theory
52C35 Arrangements of points, flats, hyperplanes (aspects of discrete geometry)
55N91 Equivariant homology and cohomology in algebraic topology
57M15 Relations of low-dimensional topology with graph theory
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