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This collection of high-quality articles in the field of combinatorics, geometry, algebraic topology and theoretical computer science is a tribute to Jiří Matoušek, who passed away prematurely in March 2015. It is a collaborative effort by his colleagues and friends, who have paid particular attention to clarity of exposition – something Jirka would have approved of. The original research articles, surveys and expository articles, written by leading experts in their respective fields, map Jiří Matoušek’s numerous areas of mathematical interest.

Mathematics. --- Computer science --- Algorithms. --- Geometry. --- Operations research. --- Management science. --- Algebraic topology. --- Combinatorics. --- Operations Research, Management Science. --- Algebraic Topology. --- Mathematics of Computing. --- Matoušek, Jiří, --- Math --- Science --- Computer science. --- Informatics --- Topology --- Mathematics --- Euclid's Elements --- Combinatorics --- Algebra --- Mathematical analysis --- Algorism --- Arithmetic --- Foundations --- Computer science—Mathematics. --- Quantitative business analysis --- Management --- Problem solving --- Operations research --- Statistical decision --- Operational analysis --- Operational research --- Industrial engineering --- Management science --- Research --- System theory