Education
Bredon studied at Stanford University, got a bachelor"s degree in 1954 and a master"s degree from Harvard University in 1955. In 1958 he wrote his Doctor of Philosophy thesis at Harvard (Some theorems on transformation groups) under the supervision of Andrew M. Gleason.
Career
Since 1960 he was assistant professor and later professor at the University of California, Berkeley and since 1969 at Rutgers University, where he retired in 1993. From 1958 to 1960 and 1966/67 he was at the Institute for Advanced Study. The Bredon cohomology of topological spaces under action of a topological group is named after him.
In the late 1980s, he wrote the program DOS.MASTER for Apple II computers.
He is the author of the programs Merlin (a macro assembler) and ProSel for Apple machines.