To categories As part of the 35th Summer Conference on Topology and Its Applications https://ysu.edu/sumtopo to be held July 13-17, 2020, at Youngstown State University, Ohio, we are organizing a special session on Enriched Categories and Topology. The goal of the session is to provide a forum for recent research in a field pursued by topologists, analysts and algebraists alike. Many of them see Lawvere's milestone paper on Metric spaces, generalized logic, and closed categories at the origin of this emerging field. Especially quantalic settings have received much attention during the past two decades, but the session is by no means limited to these. We invite anybody interested in attending and/or contributing to the session to contact us, preferably before February 29, 2020. Dirk Hofmann, Universidade de Aveiro (Portugal) dirk@ua.pt Ulrich H??hle, Bergische Universit??t, Wuppertal (Germany) uhoehle@uni-wuppertal.de Walter Tholen, York University, Toronto (Canada) tholen@mathstat.yorku.ca (Session Organizers) [For admin and other information see: http://www.mta.ca/~cat-dist/ ]