manifold

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Introduction References & Edit History Related Topics

Discover

Leonardo da Vinci (1452-1519), Italian Renaissance painter from Florence. Engraving by Cosomo Colombini (d. 1812) after a Leonardo self portrait. Ca. 1500.

10 Famous Artworks by Leonardo da Vinci

earthquake. Heavily damaged school in the town of Yingxiu after a major earthquake struck China's Sichuan Province on May 12, 2008.

The 6 Deadliest Earthquakes Since 1950

The Cheshire Cat is a fictional cat from Lewis Carroll's Alice's Adventures in Wonderland. (Alice in Wonderland)

11 Banned Books Through Time

Santa Claus flying in his sleigh, christmas, reindeer

Was Santa Claus a Real Person?

Mona Lisa, oil on wood panel by Leonardo da Vinci, c. 1503-06; in the Louvre, Paris, France. 77 x 53 cm.

Why Is the Mona Lisa So Famous?

Close up of books. Stack of books, pile of books, literature, reading. Homepage 2010, arts and entertainment, history and society

12 Novels Considered the “Greatest Book Ever Written”

Baseball laying in the grass. Homepage blog 2010, arts and entertainment, history and society, sports and games athletics

10 Greatest Baseball Players of All Time

manifold: Related Content

Written and fact-checked by The Information Architects of Encyclopaedia Britannica

Topics

Poincaré conjecture Betti number cobordism h-cobordism theorem curvature vector tangent vector topological space metric space Hausdorff space homotopy homology compactness

Key People

Bernhard Riemann, lithograph after a portrait, artist unknown, 1863.

Bernhard Riemann

German mathematician

Grigori Perelman

Russian mathematician

William Paul Thurston

American mathematician

Kodaira Kunihiko

Kodaira Kunihiko

Japanese mathematician

Sergei Novikov

Russian mathematician

Curtis McMullen

American mathematician

Quiz

Equations written on blackboard

Numbers and Mathematics