
 Tenntop Abstracts 
  Distance spaces are a generalization of metric spaces, obtained by replacing the nonnegative integers as distances by elements of a partially ordered, commutative monoid. 
  A continuity space is a set X with a (not necessarily symmetric) distance function valued in an ordered abelian semigroup (\cal V,+,\leq) with least element and identity 0, greatest absorbing element \infty, and satisfying d(x,x)=0, d(x,z)\leq d(x,y)+d(y,z). 
  Thus the noncommutativity of A and the asymmetry of topologies on the ideal spaces of A are intimately intertwined. 
 math.tntech.edu /tenntop/abstracts.html (4721 words) 
