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- W2991142162 abstract "With surprising frequency there occurs an object of the following type: a metrizable 3-manifold (with possibly some isolated interior singularities) equipped with suitably well-behaved or ‘tame’ decomposition into circles and (compact) intervals. Those tame decompositions involving circles only, where in addition the manifold is orientable near each circle, are precisely the well-studied Seifertfibrations of 3-manifolds, (Seifert, H., 1932; Orlik, P., 1972; Siebenmann, L.C., 1978). Tame decompositions involving intervals have been studied far less, but they are by no means rare. They occur in many quotient spaces of classical crystallographic groups (139 out of 219)*, and also for many non-classical crystallographic groups; see Bonahon, F. ε Siebenmann, L.C. (to appear); Dunbar, W.D. (1983); Seifert, H. ε Threlfall, W. (1930 ε 1932). We have encountered them in our study of classical knots (Bonahon, F. ε Siebenmann, L.C, to appear), through the so-called Montesinos and arborescent knots (that include respectively 174 and 208 of the 250 ten crossing knots). We will mention these examples further when we have clear definitions in hand." @default.
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- W2991142162 date "1985-07-25" @default.
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- W2991142162 title "The classification of Seifert fibred 3-orbifolds" @default.
- W2991142162 doi "https://doi.org/10.1017/cbo9780511662744.002" @default.
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