Foliated control theory, II |
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| Authors: | F. T. Farrell and L. E. Jones |
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| Affiliation: | (1) Department of Mathematics, Columbia University, 10027 New York, NY, USA;(2) Department of Mathematics, State University of New York at Story Brook, 11794 Story Brook, NY, USA |
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| Abstract: | The main result is a control theorem for the structure space of E with control near the leaves F in M, where  : E  M is a fiber bundle over the Riemannian manifold M having a compact closed manifold for fiber and F is a smooth foliation of M, each leaf of which inherits a flat Riemannian geometry from M. A similar result has been proved by the authors under the assumption that each leaf of F is one-dimensional and the fiber of : E M is  homotopy stable .Both authors were supported in part by the National Science Foundations. |
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| Keywords: | Structure space surgery classifying space foliation flat geometry |
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