Descriptive Set Theory - Polish Spaces

Polish Spaces

Descriptive set theory begins with the study of Polish spaces and their Borel sets.

A Polish space is a second countable topological space that is metrizable with a complete metric. Equivalently, it is a complete separable metric space whose metric has been "forgotten". Examples include the real line, the Baire space, the Cantor space, and the Hilbert cube .

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Famous quotes containing the words polish and/or spaces:

    “‘Then I polish all the silver, which a supper-table lacquers;
    Then I write the pretty mottoes which you find inside the
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    —Sir William Schwenck Gilbert (1836–1911)

    “through the spaces of the dark
    Midnight shakes the memory
    As a madman shakes a dead geranium.”
    —T.S. (Thomas Stearns)