Papers on General Topology and Applications [antikvár]

Preface SUSAN ANDIMA," RALPH KOPPERMAN,i' PRABUDH RAM MISRA,-^ AND AARON R. TODD-i "Long Island University C. W. Post Campus Brookville, New York 11548 ^City College City University of New York New York, New York 10031 'College of Staten Island City University of New York Staten Island, New York 10301 ''Banich College City University of New York New York, New York 10010 Papers in this volume are based on talks given at the 1990 Summer Conference on General Topology and Applications held June 14-16 at the C.W. Post Campus of Long Island University. This Conference, the sixth in a series that began at City College in 1984 with 35 people, was attended by 116 mathematicians from as far away as South America, Africa, Australia, India, and the Soviet Union. It featured invited addresses by A. V. Arhangel'skii of Moscow State University, B. Banaschewski of McMaster University, W. Wistar Comfort of Wesleyan, Gary Gruenhage of Auburn, Benoit Mandelbrot of IBM and Yale, and Stephen Watson of York University, as well as 46 contributed talks. This was the first visit to the United States in over 20 years for Prof. Arhangel'skii, and led to a brief tour of several leading American universities and a return visit to this country in the fall of 1991. Four invited speakers contributed to this volume: Arhangel'skii discusses cleavability, Banaschewski presents compactifica-tions and local connectedness in terms of frames. Comfort discusses the number of compatible topologies of several types on a given Abelian or free group, and Gruenhage shows a way to decompose three-dimensional space into 2" many disjoint arcs. Most papers in this volume deal with subjects at the heart of general topology, such as uniformities, metrization, and compactness. But authors have continued our tradition of emphasizing connection between general topology and other areas of mathematics, so that you will find articles concerned with topology as it relates to such topics as topological algebras, functional analysis, convergence structures, lattices, measures, valuations, locales, and categories. The editors and organizers are particularly grateful to the National Science Foundation for its financial support of the Conference, to the New York Academy of Sciences for publishing these proceedings, and to the C.W. Post community for their viii