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PointfreeTopology

Where to go next

A short
shelf

Everything on this site is a summary of someone else's work. These are the places to read it properly.

Books

  • Stone Spaces

    Peter T. Johnstone

    Cambridge University Press, 1982. The book that gave the subject a shared language. Still the place most people start.

  • Frames and Locales: Topology without Points

    Jorge Picado & Aleš Pultr

    Birkhäuser, 2012. The modern reference, written as a bridge from Stone Spaces to the present day.

  • The Real Numbers in Pointfree Topology

    Bernhard Banaschewski

    Textos de Matemática, Coimbra, 1997; revised edition from Springer in the Coimbra Mathematical Texts series, with a career essay by Karl Heinrich Hofmann.

Essays & sources

  • The point of pointless topology

    Peter T. Johnstone

    Bulletin of the AMS, 1983. The best short argument for why any of this is worth doing, and still the most quoted.

  • Notes on Point-Free Topology

    Jorge Picado & Aleš Pultr

    A compact, friendly overview of the basic ideas and the motivation behind them.

  • Bernhard Banaschewski, 1926–2022

    McMaster University

    The department's memorial page, and the source for most of the biographical detail on this site.