Topology

thumb|240px|Möbius strips, which have only one surface and one edge, are a kind of object studied in topology. In mathematics, topology is concerned with the properties of space that are preserved under continuous deformations, such as bending, twisting, stretching, and squashing, but not tearing or gluing. Quotes Presentday topology consists of two distinct parts: point set topology and algebraic topology. The first has mainly been the prerogative of Poland plus a strong American component: the school of R. L. Moore (of Austin, Texas). I. M. James History of Topology http://books.google.com/books?id=7iRijkz0rrUC&pg=PA544 24 August 1999 Elsevier 978-0-08-053407-7 544 If geometry is dressed in a suit coat, topology dons jeans and a T-shirt. David S. Richeson Euler's Gem: The Polyhedron Formula and the Birth of Topology http://books.google.com/books?id=KUYLhOVkaV4C&pg=PR9 8 March 2012 Princeton University Press 1-4008-3856-8 9 Topologists are interested not only in finite-dimensional spaces (for example, subspaces of Rn), but also in infinite-dimensional ones, such as the spaces occurring in quantum field theory. Albert S. Schwarz Topology for Physicists https://books.google.com/books?id=BCXf4JlyQscC&pg=PA23 16 July 1996 Springer Science & Business Media 978-3-540-54754-9 23 In these days the angel of topology and the devil of abstract algebra fight for the soul of each individual mathematical domain. Weyl, Hermann. Invariants. Duke Math. J. 5 (1939), no. 3, 489--502. doi:10.1215/S0012-7094-39-00540-5. http://projecteuclid.org/euclid.dmj/1077491405. External links Category:Mathematics