Isomorphisms of combinatorial block decompositions of three-dimensional manifolds |
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| Authors: | A. O. Prishlyak |
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| Affiliation: | (1) Center for the Topology and Quantization of Moduli Spaces, Department of Mathematical Sciences, University of Aarhus, Ny Munkegade, Bygning 1530, 8000 Aarhus C, Denmark;(2) Institute of Mathematics of the Romanian Academy, P.O.Box 1-764, Bucharest, 014700, Romania;(3) School of Mathematics, Georgia Institute of Technology, Atlanta, GA 30332-0160, USA |
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| Abstract: | For three-dimensional manifolds with the structure of a combinatorial block complex, we construct an invariant that allows one to verify the existence of isomorphisms, between these manifolds. For complexes of small dimensionality, we solve the problem on the possibility of extending the isomorphisms of subcomplexes to those of complexes. Shevchenko National University, Kiev. Translated from Ukrainskii Matematicheskii Zhurnal., Vol. 51, No. 4, pp. 568–571, April, 1999. |
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