TY - GEN AU - Hofmann, Dirk [Ed.] AU - Seal, Gavin J. AU - Tholen, Walter TI - Monoidal topology: a categorical approach to order, metric, and topology, Vol. 153 SN - 9781107063945 U1 - 514.32 PY - 2014/// CY - Cambridge PB - Cambridge University Press KW - Mathematics KW - Monoids KW - Topological KW - Group Theory KW - Metric Spaces N2 - Monoidal Topology describes an active research area that, after various past proposals on how to axiomatize "spaces" in terms of convergence, began to emerge at the beginning of the millennium. It combines Barr's relational presentation of topological spaces in terms of ultrafilter convergence with Lawvere's interpretation of metric spaces as small categories enriched over the extended real half-line ER -