Introduction. List of Frequent Symbols. I. Abstract Convex Structures.
Basic concepts. The Hull operator. Half-spaces and separation. Interval spaces. Base-point orders. Modular spaces. Bryant-Webster spaces. II. Convex Invariants.
Classical convex invariants. Invariants and product spaces. Invariants in other constructions. Infinite combinatorics. Tverberg numbers. III. Topological Convex Structures.
Topology and convexity on the same set. Continuity of the Hull operator. Uniform convex structures. Topo-convex separation. Intrinsic topology. IV. Miscellaneous.
Embedding Bryant-Webster spaces into vector spaces. Extremality, pseudo-boundary and pseudo-interior. Continuous selection. Dimension theory. Dimension and convex invariants. Fixed points.
Bibliography. Index of Terms.