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A counterexample to the (unstable) Gromov-Lawson-Rosenberg conjecture

Mathematics – Geometric Topology
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A counterexample to the Alon-Saks-Seymour conjecture and related problems

Mathematics – Combinatorics
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A counterexample to the existence of a Poisson structure on a twisted group algebra

Mathematics – Quantum Algebra
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A counterexample to the Gouvea--Mazur conjecture

Mathematics – Number Theory
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A counterexample to the Hirsch conjecture

Mathematics – Combinatorics
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A counterexample to the Hodge conjecture for Kaehler varieties

Mathematics – Algebraic Geometry
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A counterexample to the local-global principle of linear dependence for abelian varieties

Mathematics – Number Theory
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A counterexample to the maximality of toric varieties

Mathematics – Algebraic Geometry
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A Counterexample to the Quantizability of Modules

Mathematics – Symplectic Geometry
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A counterexample to the smoothness of the solution to an equation arising in fluid mechanics

Mathematics – Analysis of PDEs
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A counterexample to the strong version of Freedman's conjecture

Mathematics – Geometric Topology
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A counterexample to Wegner's conjecture on good covers

Mathematics – Combinatorics
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A counterexample to well-posedness of entropy solutions to the compressible Euler system

Mathematics – Analysis of PDEs
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A Counterpart of Bessel's Inequality in Inner Product Spaces and Some Gruss Type Related Results

Mathematics – Classical Analysis and ODEs
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A Counterpart of Schwarz's Inequality in Inner Product Spaces

Mathematics – Classical Analysis and ODEs
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A counterpart of the Verlinde algebra for the small quantum group

Mathematics – Quantum Algebra
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A counterpart to Nagata idealization

Mathematics – Commutative Algebra
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A counterrotating core in the merger remnant candidate NGC 3656 (ARP 155)

Mathematics – Logic
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A counting method for finding rational approximates to arbitrary order roots of integers

Mathematics – General Mathematics
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A Counting Proof of the Graham Pollak Theorem

Mathematics – Combinatorics
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