@MISC{Novikov_henripoincare, author = {S. Novikov}, title = {Henri Poincare ́ and XXth Century Topology}, year = {} }
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Abstract
Abstract. About 110 years ago Poincare ́ published his famous work ”Analysis Situs ” starting Topology as a new area of mathematics. What was done in this and subsequent works of Poincare ́ exactly? How Topol-ogy was developed after that and became a central part of mathematics in the1950s and 60s followed by a 10 year long period of decay in the 1970s? What is the status of Topology today? We present here our vision of these subjects. ∗ This lecture is dedicated to the 150th anniversary of Henri Poincare ́ and 100th anniversary of Henri Cartan. 1