# James Munkres

**James Raymond Munkres** (born August 18, 1930) is a Professor Emeritus of mathematics at MIT^{[1]} and the author of several texts in the area of topology, including *Topology* (an undergraduate-level text), *Analysis on Manifolds*, *Elements of Algebraic Topology*, and *Elementary Differential Topology*. He is also the author of *Elementary Linear Algebra*.

Munkres completed his undergraduate education at Nebraska Wesleyan University^{[2]} and received his Ph.D. from the University of Michigan in 1956; his advisor was Edwin E. Moise. Earlier in his career he taught at the University of Michigan and at Princeton University.^{[2]}

Among Munkres' contributions to mathematics is the development of what is sometimes called the Munkres assignment algorithm. A significant contribution in Topology is his obstruction theory for the smoothing of homeomorphisms.^{[3]}^{[4]} These developments establish a connection between the John Milnor groups of differentiable structures on spheres and the smoothing methods of classical analysis.

## References

- ↑ James Munkres, MIT Mathematics, mit.edu
- 1 2 Mathematics,
*The Tech*, Volume 119, Issue 33, August 27, 1999 - ↑ Obstructions to the smoothing of piecewise-differentiable homeomorphisms, Ann. of Math., vol. 72 (1960)
- ↑ F. Wesley Wilson Jr., Pasting diffeomorphisms of R
^{n}, Illinois J. Math., 16, 222-233 (1972)