Gaifman's normal form theorem showed that every first order sentence of quantifier rank n is equivalent to a Boolean combination of "scattered local sentences", whe...
The topological Tverberg theorem states that for any prime power q and continuous map from a (d + 1)(q − 1)-simplex to Rd , there are q disjoint faces Fi of the simplex whose im...
A recent theorem of Bissacot, et al. proved using results about the cluster expansion in statistical mechanics extends the Lov´asz Local Lemma by weakening the conditions under w...
If a locale is presented by a "flat site", it is shown how its frame can be presented by generators and relations as a dcpo. A necessary and sufficient condition is deri...
When a new (global) constraint is introduced in local search, measures for the penalty and variable conflicts of that constraint must be defined, and incremental algorithms for m...