Biographical Memoirs Volume 82 (2003) / Chapter Skim
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Raymond Louis Wilder
Raymond Louis Wilder
Pages 336-351
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the charming Una Maude Greene. They had three daughters: Mrs.
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He stayer! an aciclitional year at Austin as an instructor and in 1924 he moved with his family to Ohio State University to assume an assistant professorship.
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to WiTcler's converse to the JorcianBrower separation theorem in 3-climensions. In 2-climensions the {orcian-Brower separation theorem says that a topological circle separates the plane into two uniformly locally connected complementary connected pieces of which the circle is the common boundary.
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That the setting in terms of generalized manifolds was appropriate can be discerned tociay because the analogous results for classical locally Eucliclean manifoIcis are still not known in their full generality. It is instructive to turn to WiTcler's Symposium Lecture delivered to the American Mathematical Society (point sets in three and higher dimensions and their investigation by means of a unifier!
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techniques. In 1942 Wilcler cleliverecl the American Mathematical Society Colloquium Lectures.
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from a classical topological manifold by purely homological means even though it may be far from a topological manifoIcI. Today, finding the properties that will force a generalized
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Thinking back to his student days he created his famous course, "Foundations of Mathematics." It is interesting that he began this course in the early thirties with a class of approximately thirty students whose central interest was actuarial mathematics. Much later he was to write a textbook for such a course and in the preface he says, "The reason for instigating such a course was simply the conviction that it was not good to have teachers, actuaries, statisticians, and others who had specialized in undergraduate mathematics, and who were to base their life's work on mathematics, leave the university without some knowledge of modern mathematics and its foundations." The foundations course continual until his retirement at the University of Michigan in 1967.
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to facilitate certain societal interactions, whereas inherited cultural stress is the response to internal mathematical problems. For example, development in an old culture of a symbolic nomenclature for recording numbers as in the number of .
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The famous collaboration of Eilenberg and Steenrod began when Wilder was able to get Steenrod a position at Michigan. Wilder directed 25 doctoral dissertations including those of Leon Cohen, Paul Swingle, Sam Kaplan, Ed Begle, Morton Curtis, Alice Dickinson, foe Schoenfield, Tom Brahana, I
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He was president of the American Mathematical Society In 1955-56 and president of the Mathematical Association of America in 1965-66. For the American Mathematical Society he cleliverecl a number of special lectures inclucling the Josiah Gibbs Lecture in 1969 en cl received the award for clistinguishec!
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191-204. American Mathematical Society.
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25:200-208. 1936 A characterization of manifold boundaries in En dependent only on lower dimensional connectivities of the complement.
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7:1519-28. 1958 Monotone mappings of manifolds.
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Math. Evolution of the topological concept of "connected." Am.
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