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.

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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 (24 August 1999). History of Topology. Elsevier. p. 544. ISBN 978-0-08-053407-7.

If geometry is dressed in a suit coat, topology dons jeans and a T-shirt.
- David S. Richeson (8 March 2012). Euler's Gem: The Polyhedron Formula and the Birth of Topology. Princeton University Press. p. 9. ISBN 1-4008-3856-8.

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 (16 July 1996). Topology for Physicists. Springer Science & Business Media. p. 23. ISBN 978-3-540-54754-9.

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

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Topology

Mathematics
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