Browsing by Author "Curtis, Morton L."

Now showing 1 - 3 of 3
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    A look at P. L. decomposition spaces
    (1972) Nehs, Robert M; Curtis, Morton L.
    Let E be a P. L. space, G = {c^,C2,...,Cm} disjoint, finite subcomplexes, and let GE denote the decomposition space obtained by identifying the Ci to distinct points. The space GE is given a P. L. structure which agrees with that of E outside an open neighborhood of the Ci. If each Ci is full in E and if Ni = N(Ci',E') represents the first derived neighborhood of Ci in E , then GE is shown to be P. L. equivalent to where PiNi represents the cone over the boundary of Ni. If E is a manifold, then the Ni may be taken to be any set of disjoint, regular neighborhoods of the Ci.
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    Construction of universal bundles
    (1979) Thongyoo, Sutep; Curtis, Morton L.; Hempel, John; Pfeiffer, Paul E.
    By a n-universal bundle, we mean a principal fiber bundle such that the bundle space is (n-1)-connected. The present paper shows that for a suitable base space X (namely an arc-wise connected space which can be covered by a countable number of contractible open sets) there exists an infinity-universal bundle over X.
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    Residually finite properties of covering spaces
    (1972) Chow, Yen-Whei; Curtis, Morton L.
    The purpose of this thesis is trying to construct some negative results for Griffith’s theorem 1 in (3) by showing theorem 1.1 and a counter-example in Section 2. I also give some general positive results for this work in Section 3, to go with the negative ones. It is well known that Fuchsian groups are residually finite. Section 4 provides some topological construction of Fuchsian groups which yield a simple proof of their residual finiteness.