By R. Brown, T. L. Thickstun
This quantity includes the court cases of a convention held on the college university of North Wales (Bangor) in July of 1979. It assembles learn papers which replicate diversified currents in low-dimensional topology. The topology of 3-manifolds, hyperbolic geometry and knot thought grow to be significant subject matters. The inclusion of surveys of labor in those parts should still make the e-book very worthy to scholars in addition to researchers.
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Extra info for Low-Dimensional Topology, Volume 1 of the Proceedings of the Conference on the Topology in Low Dimension, Bangor, 1979
Sample text
Ann. 218 (1975), 157-174. 6. J. H. KUIPER, 'An invariant for certain smooth manifolds', Ann. Mat. Pur. Appl. (4) 60 (1972), 93-110. Springer-Verlag. E. FLOYD, Periodic maps via Smith theory 1 , Seminar on Transformation Groups, Annals of Mathematics Studies 46 (I960), 35-47. D. GALEWSKI and R. STERN, TOrientation reversing involutions on homology 3-spheres ! , Math. Proc. Camb. Phil. Soc. 85 (1979), 449-451. 9. Classification of Simplicial Triangulations of topological manifolds', Bull. Amer. Math.
I would like to end by giving an idea of the proof of Theorem 7, which asserts that F is compact. This is equivalent to asserting that, for fixed M , the set of equivalence classes of homotopy equivalences M -»• M 1 is compact. I will consider the special case when M is closed. Tneorem 7 reduces to THEOREM 9. If M is a closed hyperbolic 3-manifoldj then the set of homotopy classes of self homotopy equivalences is finite. OU£(TT.. (M)) is finite. Equivalently, As I said before, this follows easily from the Mostow rigidity theorem.
FLOYD, Periodic maps via Smith theory 1 , Seminar on Transformation Groups, Annals of Mathematics Studies 46 (I960), 35-47. D. GALEWSKI and R. STERN, TOrientation reversing involutions on homology 3-spheres ! , Math. Proc. Camb. Phil. Soc. 85 (1979), 449-451. 9. Classification of Simplicial Triangulations of topological manifolds', Bull. Amer. Math. Soc. 82 (1976), 916-918. 10. C. McA. GORDON, f Some aspects of classical knot theory 1 , Knot theory; Proceedings, Plans-sur-Bex3 Switzerland, 1977.