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Rev. Mod. Phys. 51, 591–648 (1979)

The topological theory of defects in ordered media

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N. D. Mermin
Laboratory of Atomic and Solid State Physics Cornell University, Ithaca, New York 14853

Aspects of the theory of homotopy groups are described in a mathematical style closer to that of condensed matter physics than that of topology. The aim is to make more readily accessible to physicists the recent applications of homotopy theory to the study of defects in ordered media. Although many physical examples are woven into the development of the subject, the focus is on mathematical pedagogy rather than on a systematic review of applications.

© 1979 American Physical Society

URL:
http://link.aps.org/doi/10.1103/RevModPhys.51.591
DOI:
10.1103/RevModPhys.51.591
PACS: