Local Connectedness Of Extension Spaces Academic Article uri icon

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abstract

  • 1. Introduction. An extensionE* of a topological spaceE(that is, a space containingEas a dense subspace) determines a family of filters(u) onE, given by the tracesU ∩ Eof the neighbourhoodsU ⊆ E*of each u ∈ E* −E.Many topological properties of an extensionE* of a given space E can be related to properties of these trace filters (as we shall call them) belonging toE*.

publication date

  • 1956