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In topology, puncturing a manifold is removing a finite set of points from that manifold. The set of points can be small as a single point. In this case, the manifold is known as once-punctured. With the removal of a second point, it becomes twice-punctured, and so on.
References
- Herreman, Alain (2005), "Chapter 76. H. Seifert and W. Threlfall (1934) and P. S. Alexandroff and H. Hopf (1935) Books on Topology", in Grattan-Guinness, Ivor (ed.), Landmark writings in western mathematics 1640--1940, Elsevier B. V., Amsterdam, p. 970, ISBN 978-0-444-50871-3, MR 2169816
- Seifert, Herbert; Threlfall, William (1934), Lehrbuch der Topologie, vol. 89, Leipzig: Teubner, ISBN 9780821835951, MR 0575168 Reprinted by Chelsea Publishing Company 1947 and AMS 2004.
- Seifert, Herbert; Threlfall, William (1980), Goldman, Michael A.; Birman, Joan S. (eds.), Seifert and Threlfall: a textbook of topology, Pure and Applied Mathematics, vol. 89, London: Academic Press Inc. [Harcourt Brace Jovanovich Publishers], ISBN 978-0-12-634850-7, MR 0575168
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