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# Clifford Hugh Dowker

Clifford Hugh Dowker (1912–1982) was a topologist known for his work in point-set topology and also for his contributions in category theory, sheaf theory and knot theory.

Biography

Clifford Hugh Dowker was brought up on a small farm in Western Ontario, Canada. He excelled in mathematics and was paid to teach his math teacher math at his secondary school. He was awarded a scholarship at Western Ontario University, where he got his B.S. in 1933. He wanted to pursue a career as a teacher, but he was persuaded to continue with his education because of his extraordinary mathematical talent. He earned his Ph.D. from Princeton University in 1938. After earning his doctorate, he became an instructor at the Western Ontario University for a year. The next year, he worked as an assistant back at Princeton under John von Neumann. During World War II, he worked for the U.S. Air Force, calculating the trajectories of projectiles. He married Yael Naim in 1944. After the war, he was appointed associate professor at the Tufts University. Because of Senator Joseph McCarthy's red scare, he decided to take his family to England shortly thereafter, where he was appointed Reader in applied mathematics at Birkbeck University in 1951. In 1962 he was granted a personal chair, until he retired in 1979. The last years of his life were marked by a long illness, yet he continued working, developing Dowker notation in the weeks before his death. Although a mathematical genius, he remained modest, with a gentle humor, to the end of his days.[1][2]

Work

Dowker showed that Čech and Vietoris homology groups coincide, as do the Čech cohomology and Alexander cohomology groups.[3]

Dowker, along with Morwen Thistlethwaite, developed Dowker notation, a simple way of describing knots, suitable for computers.[4]

Dowker conjectured that Dowker spaces could not exist, a conjecture ultimately proven false.[5]

References

^ Dowker biography

^ Times obituary

^ http://www.cmi.ac.in/~strivedi/MScThesis.pdf

^ Weisstein, Eric W. "Dowker Notation." From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/DowkerNotation.html

^ http://arxiv.org/pdf/math/9512202v1

See also

Dowker notation

Dowker space

Čech cohomology

Morwen Thistlethwaite

Sheaf theory

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