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1.Classical and Modern Topology. 2.Topological Phenomena in Real World Physics

2000/04/11 by Sergey Novikov, Sergey P. Novikov, Novikov, Sergey P.
Chemistry · Computer Science · Mathematics · Physics and Astronomy · #FOS: Physical sciences #History and advancements in chemistry #Mathematical Physics (math-ph) #Scientific Research and Philosophical Inquiry #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.math-ph/0004012

Latex2e, 19 pages, Lecture given to the Conference "Visions in Mathematics-2000", Tel Aviv, August 1999, to appear

arxiv created 2000/04/11 · openalex publication_date 2000/04/11 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Hystory of topology is discussed uncluding the Golden Age Period (1950-1970), the Period of Decay (1970-1980) and the Period of Recovery in 80s and 90s based on the ideas borrowed from physics community. In the second part recent result of the present author, A.Malcev, I Dynnikov and A.Zorich concerning new observable topological phenomena in normal metals and topology of quasiperiodic functions on the plane are presented

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