Background
Isbell, John Rolfe was born on October 27, 1930 in Portland, Oregon, United States. Son of Henry Wyatt and Dana Cornwell (Martin) Isbell.
- Photos
- Works
- Photos
- Works
book
Uniform Spaces (Mathematical Surveys and Monographs)
(Uniform spaces play the same role for uniform continuity ...)
Uniform spaces play the same role for uniform continuity as topological spaces for continuity. The theory was created in 1936 by A. Weil, whose original axiomatization was soon followed by those of Bourbaki and Tukey; in this book use is made chiefly of Tukey's system, based on uniform coverings. The organization of the book as a whole depends on the Eilenberg-MacLane notions of category, functor and naturality, in the spirit of Klein's Erlanger Program but with greater reach. The preface gives a concise history of the subject since 1936 and a foreword outlines the category theory of Eilenberg and MacLane. The chapters cover fundamental concepts and constructions; function spaces; mappings into polyhedra; dimension (1) and (2); compactifications and locally fine spaces. Most of the chapters are followed by exercises, occasional unsolved problems, and a major unsolved problem; the famous outstanding problem of characterizing the Euclidean plane is discussed in an appendix. There is a good index and a copious bibliography intended not to itemize sources but to guide further reading.
http://www.amazon.com/gp/product/0821815121/?tag=2022091-20
Uniform Spaces: Lectures by John R. Isbell.
http://www.amazon.com/gp/product/B000MS9YXY/?tag=2022091-20
Uniform Spaces (Mathematical Surveys and Monographs) by J. R. Isbell (1964) Paperback
http://www.amazon.com/gp/product/B010WEZHKQ/?tag=2022091-20
John Rolfe Isbell
Edit ProfileEducation
Bachelor of Science, University of Chicago, 1951; Doctor of Philosophy, Princeton University, 1954.
Career
Research associate logistics research project, George Washington University, Washington, 1952-1954, 56; assistant professor to professor, U. Washington, Seattle, 1957-1965; professor, Case Western Reserve U., Cleveland, 1965-1969; professor, State University of New York, Buffalo, since 1969. Visiting professor U. di Perugia, Italy, 1973-1974.
Achievements
Works
book
-
Uniform Spaces (Mathematical Surveys and Monographs)
(Uniform spaces play the same role for uniform continuity ...)
- Uniform spaces: Lectures (Purdue lecture notes in mathematics)
- Uniform Spaces: Lectures by John R. Isbell.
- Uniform Spaces (Mathematical Surveys and Monographs) by J. R. Isbell (1964) Paperback
-
Uniform Spaces (Mathematical Surveys and Monographs)
Membership
With Ordnance corpus, United States army, 1954-1956. Member American Mathematics Society M C.
Connections
Married Joan Gilbreath, Aug.1, 1960 (divorced 1973). Children: Margaret, John C., Brecht.
-
Born
-
Nationality
American