Index of properties

ordering of elements muliplicity uniqueness arity, number of childeren (trees) orderedness (second-order, higher-order)

persistency, mutability number of intra-structural links (singly- and doubly-linked list) monotonicity (functions) disjointness (set) overlapping (set) pair-wise isomorphic stable (order, sort algorithm) collision (hash function)

order, ordering of elements

• structures that respect ordering of elements

• structures that do not have notion of order, unordered structures (set)

muliplicity or uniqueness of elements

• multiple elements are allowed

• only unique elements exist, dupes collapse (set)

Per topic

numbers

• odd, even

• neg, pos, zero, nonneg, nonpos

• 0, 1, primes, composite

sets

• disjoint

ordered pairs

• pair-wise

order theory

• poset

• preorder

relations

• total

• empty

functions

• arity

• monotonicity

logic

• bivalency, bivalent logic

• orderedness (second-order, higher-order)

types

• universality