Open Daily: 10am - 10pm | Alley door pickup 10am - 7pm 3038 Hennepin Ave Minneapolis, MN
612-822-4611

  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Topological Groups: Yesterday, Today, Tomorrow

Topological Groups: Yesterday, Today, Tomorrow

Morris, Sidney a.

Hardcover

General Mathematics

ISBN10: 3038422681
ISBN13: 9783038422686
Publisher: Mdpi Ag
Published: Dec 5 2016
Pages: 228
Weight: 1.53
Height: 0.75 Width: 6.69 Depth: 9.61
Language: English

In 1900, David Hilbert asked whether each locally euclidean topological group admits a Lie group structure. This was the fifth of his famous 23 questions which foreshadowed much of the mathematical creativity of the twentieth century. It required half a century of effort by several generations of eminent mathematicians until it was settled in the affirmative. These efforts resulted over time in the Peter-Weyl Theorem, the Pontryagin-van Kampen Duality Theorem for locally compact abelian groups, and finally the solution of Hilbert 5 and the structure theory of locally compact groups, through the combined work of Andrew Gleason, Kenkichi Iwasawa, Deane Montgomery, and Leon Zippin. For a presentation of Hilbert 5 see the 2014 book Hilbert's Fifth Problem and Related Topics by the winner of a 2006 Fields Medal and 2014 Breakthrough Prize in Mathematics, Terence Tao.

Also in

General Mathematics

View All