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Sibirskii Matematicheskii Zhurnal, 2008, Volume 49, Number 3, Pages 698–706 (Mi smj1871)  
Behavior of the extended complexity of irreducible 3-manifolds

O. N. Shatnykh

Kurgan State University
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Abstract: We construct the extended complexity of irreducible 3-manifolds; unlike the usual complexity [1] it is not an integer, but an ordered tuple of five integers. The benefit of extended complexity is that it always decreases when a manifold is cut along some incompressible boundary incompressible surface.
Keywords: 3-manifold, spine, complexity.
Received: 28.06.2007
English version:
Siberian Mathematical Journal, 2008, Volume 49, Issue 3, Pages 562–568
DOI: https://doi.org/10.1007/s11202-008-0053-5
Bibliographic databases:
UDC: 515.16
Language: Russian
Citation: O. N. Shatnykh, “Behavior of the extended complexity of irreducible 3-manifolds”, Sibirsk. Mat. Zh., 49:3 (2008), 698–706; Siberian Math. J., 49:3 (2008), 562–568
Citation in format AMSBIB
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