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Antoine's Necklace or How to Keep a Necklace from Falling Apart

by Beverly L. Brechner, John C. Mayer

Award: George Pólya

Year of Award: 1989

Publication Information: The College Mathematics Journal, Vol. 19, No. 4, (1988), pp. 306-320

Summary: Applications and generalizations of Antoine's Necklace.

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About the Authors: (from The College Mathematics Journal, Vol. 19, No. 4, (1988)) Beverly L. Brechner was born in New York City, where she was educated in her early years. She completed high school in Miami Beach, and received her B.S. and M.S. degrees from the University of Miami in Coral Gables, FL. She received her Ph.D. in mathematics (topology) in 1964 from Louisiana State University in Baton Rouge and taught for several years at Louisiana State University in New Orleans. She then accepted a position at the University of Florida, where she is now Professor of Mathematics. During her tenure at Florida, she spent a sabbatical year at the University of Michigan, as well as a summer at the University of Texas, doing research and teaching. Her mathematical interests include geometric topology and continuum theory.

John C. Mayer received his B.S. degree in 1967 from Randolph-Macon College in Virginia and his Ph.D. in logic in 1980 and mathematics (topology) in 1982 from the University of Florida (where Brechner was his advisor). He is currently at the University of Alabama at Birmingham.  His mathematical interests include geometric topology, continuum theory, and dynamical systems.


Subject classification(s): Geometry and Topology | Topology | Famous Problems
Publication Date: 
Sunday, July 20, 2008