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Local Structure and Topology

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Part of the book series: Lecture Notes in Physics ((LNP,volume 709))

Abstract

There are many procedures for defining a topology on a space M. We select two for attention. In the first case, one may have a preferred family of functions defined on M. It may then be reasonable to consider the coarsest (weakest) topology on M which makes each of these functions continuous. In the second case, one may wish the space M to have strong homogeneity properties. Then M should be “glued together” from isomorphic copies of the same object.

The erratum of this chapter is available at http://dx.doi.org/10.1007/3-540-37681-X_C

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© 2006 Springer-Verlag Berlin Heidelberg

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Borchers, HJ., Sen, R.N. (2006). Local Structure and Topology. In: Mathematical Implications of Einstein-Weyl Causality. Lecture Notes in Physics, vol 709. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-37681-X_4

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