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Extending monotone decompositions of 3-manifolds. (English) Zbl 0205.53401


MSC:

57N10 Topology of general \(3\)-manifolds (MSC2010)
57N12 Topology of the Euclidean \(3\)-space and the \(3\)-sphere (MSC2010)
54B15 Quotient spaces, decompositions in general topology
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[5] -, “Decompositions of \( {E^3}\)” in Topology of 3-manifolds and related topics (Proc. Univ. of Georgia Institute, 1961), Prentice-Hall, Englewood Cliffs, N.J., 1962, pp. 5-21. MR 25 #4501.
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[9] Edwin E. Moise, Affine structures in 3-manifolds. VIII. Invariance of the knot-types; local tame imbedding, Ann. of Math. (2) 59 (1954), 159 – 170. · Zbl 0055.16804 · doi:10.2307/1969837
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[11] G. T. Whyburn, Decomposition spaces, Topology of 3-manifolds and related topics (Proc. The Univ. of Georgia Institute, 1961) Prentice-Hall, Englewood Cliffs, N.J., 1962, pp. 2 – 4. · Zbl 1246.57004
[12] E. C. Zeeman, Polyhedral \?-manifolds. II. Embeddings, Topology of 3-manifolds and related topics (Proc. The Univ. of Georgia Institute, 1961) Prentice-Hall, Englewood Cliffs, N.J., 1962, pp. 65 – 70. · Zbl 1246.57064
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