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

Physics – Mathematical Physics

Scientific paper

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

Scientific paper

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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