Background
Whitehead, George William was born on August 2, 1918 in Bloomington, Illinois, United States. Son of George William and (Christine) Mary (Gutschlag) Whitehead.
(As the title suggests, this book is concerned with the el...)
As the title suggests, this book is concerned with the elementary portion of the subject of homotopy theory. It is assumed that the reader is familiar with the fundamental group and with singular homology theory, including the Universal Coefficient and Kiinneth Theorems. Some acquaintance with manifolds and Poincare duality is desirable, but not essential. Anyone who has taught a course in algebraic topology is familiar with the fact that a formidable amount of technical machinery must be introduced and mastered before the simplest applications can be made. This phenomenon is also observable in the more advanced parts of the subject. I have attempted to short-circuit it by making maximal use of elementary methods. This approach entails a leisurely exposition in which brevity and perhaps elegance are sacrificed in favor of concreteness and ease of application. It is my hope that this approach will make homotopy theory accessible to workers in a wide range of other subjects-subjects in which its impact is beginning to be felt. It is a consequence of this approach that the order of development is to a certain extent historical. Indeed, if the order in which the results presented here does not strictly correspond to that in which they were discovered, it nevertheless does correspond to an order in which they might have been discovered had those of us who were working in the area been a little more perspicacious.
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mathematician university professor topologist
Whitehead, George William was born on August 2, 1918 in Bloomington, Illinois, United States. Son of George William and (Christine) Mary (Gutschlag) Whitehead.
Bachelor of Science, University of Chicago, 1937; Master of Science, University of Chicago, 1938; Doctor of Philosophy, University of Chicago, 1941.
He is known for his work on algebraic topology. He invented the J-homomorphism, and was among the first to systematically calculate the homotopy groups of spheres. Whitehead was born in Bloomington, Illinois, and received his Doctor of Philosophy in mathematics from the University of Chicago in 1941, under the supervision of Norman Steenrod.
After teaching at Purdue University, Princeton University, and Brown University, he took a position at Massachusetts Institute of Technology in 1949, where he remained until his retirement in 1985.
He advised 13 Doctor of Philosophy students, including Robert Aumann and John Coleman Moore, and has over 750 academic descendants.
(Notes for a second-year graduate course in advanced topol...)
(As the title suggests, this book is concerned with the el...)
Fellow American Academy Arts & Sciences. Member National Academy of Sciences, American Mathematics Society (vice president), Mathematics Association American.
Married Kathleen Ethelwyn Butcher, June 7, 1947.