- Chapter 1. Combinatorial Structures 1. Combinatorial sets and combinatorial objects 1.1 Combinatorial sets 1.2 Operations over combinatorial sets 1.3 Main combinatorial sets 2. Combinatorial spaces 2.1 Polynomials on combinatorial sets 2.2 Operations over combinatorial spaces 2.3 Combinatorial bialgebras 2.4 Types of combinatorial bialgebras - Chapter 2. Trees and rewrite rules 1. Syntax trees 1.1 planar rooted trees 1.2 Families of planar rooted trees 1.3 syntax trees 2 Rewrite rules 2.1 Combinatorial posets 2.2 Rewrite rules on combinatorial sets 2.3 Rewrite ruls on combinatorial spaces 2.4 Syntax tree patterns and rewrite rules - Chapter 3 Combinatorial operands 1. Nonsymmetric operands 2 Free operands 3 Presentation by generators and relations 4 Algebras over operands 5 Koszul operands and Koszul duality - Chapter 4 Main combinatorial operands 1. Associative and magmatic operands 2 Operands and permutations 3 Dendriform operand 4 operands of rational fractions - Chapter 5 Constructions, applications and generalizations 1. Series on operands 2 Functors to operands 3 Functors from operands 4 Beyond operands Skryť popis