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Higher Combinatorics

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I - Counting Theory.- Enumeration of Partitions: The Role of Eulerian Series and q-Orthogonal Polynomials.- Distributions Euleriennes et Mahoniennes sur le Groupe des Permutations.- Cohen-Macaulay Complexes.- II - Combinatorial Set Theory and Order Theory.- Acyclic Orientations.- Problems in Combinatorial Set Theory.- Aspects of Finite Lattices.- III - Matroids.- Geometries Associated with Partially Ordered Sets.- Transversal Matroids and Related Structures.- Matroids as the Study of Geometrical Configurations.- IV - Designs.- Partitions of X2 and Other Topics.- Combinatorics of Partial Geometries and Generalized Quadrangles.- Edge Decompositions of Colored Graphs.- V - Groups and Coding Theory.- Planes and Biplanes.- Ovals from the Point of View of Coding Theory.- Permutation Groups on Unordered Sets.- Codes and Designs.

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