114:, a fictitious mathematician who had been invented by graduate students at the University of Washington in 1952. After Isbell's paper, other mathematicians have published papers using the name "Rainwater" and have acknowledged "Rainwater's assistance" in articles. Isbell published other articles using two additional pseudonyms,
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22:(October 27, 1930 – August 6, 2005) was an American mathematician. For many years he was a professor of mathematics at the
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of "The Harloe-Kelso
Genealogy" by C. B. Harloe (1943), accessed 2011-03-23; death date from death announcement in the
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the points of the plane in such a way that no two points at unit distance from each other have the same color.
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was a source of inspiration. He began his graduate studies in mathematics at
Chicago, briefly studied at
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The
Mathematical Coloring Book: Mathematics of Coloring and the Colorful Life of its Creators
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on piecewise-polynomial functions. He also made important contributions to the theory of
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arising when a mathematical object can be interpreted as a member of two different
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Isbell published over 140 papers under his own name, and several others under
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at the
University of Washington has been called the "Rainwater seminar".
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210:, Isbell was the first to prove the bound χ ≤ 7 on the
42:. He attended several undergraduate institutions, including the
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Madden, James J. (1999), "The Pierce–Birkhoff
Conjecture",
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in 1969, and remained there until his retirement in 2002.
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International
Conference and Workshop on Valuation Theory
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Barr, Michael; Kennison, John F.; Raphael, R. (2008),
38:, the son of an army officer from Isbell, a town in
547:Transactions of the American Mathematical Society
544:Isbell, John R. (August 1980), "Median algebra",
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137:He was "the leading contributor to the theory of
214:, the question of how many colors are needed to
70:. After graduation, Isbell was drafted into the
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483:"Six theorems about injective metric spaces"
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266:also states his birth date as 1930, but
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366:, had refused to sign the loyalty oath.
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110:. Isbell published the first paper by
58:, and eventually completed a Ph.D. in
463:Theory and Applications of Categories
78:. In the late 1950s he worked at the
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637:21st-century American mathematicians
632:20th-century American mathematicians
179:between them, and did early work on
354:had professors Ainsley Diamond and
592:, New York: Springer, p. 29,
167:Isbell was the first to study the
86:, from which he then moved to the
16:American mathematician (1930–2005)
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488:Commentarii Mathematici Helvetici
66:in 1954 under the supervision of
667:University of Washington faculty
430:(2002). Melvin Henriksen (ed.).
682:American operations researchers
298:"An interview with John Isbell"
92:Case Western Reserve University
395:Announcement of Isbell's death
260:reproduced by usgwarchives.net
164:with sufficiently many points.
1:
677:University at Buffalo faculty
432:"Biography of John Rainwater"
380:Mathematics Genealogy Project
122:, publishing two under each.
657:University of Chicago alumni
152:; a standard example is the
144:Isbell duality is a form of
80:Institute for Advanced Study
24:University at Buffalo (SUNY)
662:Princeton University alumni
125:Many of his works involved
52:Oklahoma A&M University
710:
692:Mathematicians from Oregon
327:Henriksen, Melvin (2006),
296:Magill, K. D. Jr. (1996),
197:Pierce–Birkhoff conjecture
362:. Ainsley Diamond, as a
169:category of metric spaces
162:complete Heyting algebras
88:University of Washington
40:Franklin County, Alabama
647:American game theorists
333:Topology Communications
329:"John Isbell 1931–2005"
302:Topology Communications
262:, accessed 2011-03-23.
233:Isbell's zigzag theorem
212:Hadwiger–Nelson problem
181:injective metric spaces
76:Aberdeen Proving Ground
74:, and stationed at the
481:Isbell, J. R. (1964),
436:Topological Commentary
208:geometric graph theory
96:University at Buffalo
84:Princeton, New Jersey
44:University of Chicago
652:American topologists
352:University of Kansas
64:Princeton University
56:University of Kansas
422:functional analysis
258:, August 28, 2005,
34:Isbell was born in
642:Category theorists
501:10.1007/BF02566944
400:2011-07-14 at the
270:states it as 1931.
46:, where professor
687:Lattice theorists
599:978-0-387-74640-1
584:Soifer, Alexander
428:Phelps, Robert R.
376:John Rolfe Isbell
356:Nachman Aronszajn
48:Saunders Mac Lane
20:John Rolfe Isbell
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456:"Isbell duality"
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228:Isbell conjugacy
193:abstract algebra
94:. He joined the
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36:Portland, Oregon
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112:John Rainwater
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532:on 2011-06-08
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469:(15): 504–542
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495:(1): 65–76,
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256:Buffalo News
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158:sober spaces
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19:
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627:2005 deaths
622:1930 births
177:metric maps
171:defined by
60:game theory
616:Categories
252:an excerpt
239:References
185:tight span
150:categories
120:H. C. Enos
108:pseudonyms
509:121857986
72:U.S. Army
30:Biography
586:(2008),
398:Archived
222:See also
183:and the
175:and the
156:between
127:topology
102:Research
54:and the
570:1998007
378:at the
146:duality
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364:quaker
566:JSTOR
505:S2CID
459:(PDF)
216:color
594:ISBN
442:(2).
350:The
160:and
129:and
118:and
90:and
556:doi
552:260
497:doi
404:in
339:(1)
308:(2)
206:In
191:In
82:in
62:at
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491:,
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465:,
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