We extend Matveev's theory of complexity for 3-manifolds, based on simple spines, to (closed, orientable, locally orientable) 3-orbifolds. We prove naturality and finiteness for irreducible 3-orbifolds, and, with certain restrictions and subtleties, additivity under orbifold connected sum. We also develop the theory of handle decompositions for 3-orbifolds and the corresponding theory of normal 2-suborbifolds. © 2005 Elsevier B.V. All rights reserved.
Complexity of 3-orbifolds / Petronio, C.. - In: TOPOLOGY AND ITS APPLICATIONS. - ISSN 0166-8641. - 153:11(2006), pp. 1658-1681. [10.1016/j.topol.2005.06.002]
Complexity of 3-orbifolds
Petronio C.
2006-01-01
Abstract
We extend Matveev's theory of complexity for 3-manifolds, based on simple spines, to (closed, orientable, locally orientable) 3-orbifolds. We prove naturality and finiteness for irreducible 3-orbifolds, and, with certain restrictions and subtleties, additivity under orbifold connected sum. We also develop the theory of handle decompositions for 3-orbifolds and the corresponding theory of normal 2-suborbifolds. © 2005 Elsevier B.V. All rights reserved.File in questo prodotto:
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