R. V. Fuller
Abstract
Let F be an equicontinuous family of functions from a compact Hausdorff space to a locally compact Hausdorff uniform space. In this paper we prove that the pointwise closure of F is locally compact relative to the topology of uniform convergence.
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Let F be an equicontinuous family of functions from a compact Hausdorff space to a locally compact Hausdorff uniform space. In this paper we prove that the pointwise closure of F is locally compact relative to the topology of uniform convergence.
Key concepts: Continuous functions on a compact Hausdorff space, Equicontinuity, Locally compact space, Hausdorff space, Pointwise convergence, Mathematics, Normal space, Function space