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Handbook of the History of General Topology pp 255–341Cite as

Categorical Topology — Its Origins, as Exemplified by the Unfolding of the Theory of Topological Reflections and Coreflections before 1971

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Part of the History of Topology book series (HIPO,volume 1)

Abstract

“Man is a being, intelligent and gifted with the faculty of comprehending the abstract. Thanks to this faculty, man has conceived the ideal, and realized poesy; he has conceived the infinite, and created mathematics. Such is the immense distinction which separates the human race so widely from the animals, which makes him a being apart and absolutely new upon the globe. Comprehending the ideal and the infinite, creating poetry and algebra, such is man! To find and understand this formula

$${\left( {a + b} \right)^2} = {a^2} + 2ab + {b^2}$$

, or the algebraic idea of negative quantities, this is the peculiar characteristic of man.”

Keywords

  • Topological Space
  • Compact Space
  • Hausdorff Space
  • Regular Space
  • Categorical Topology

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Authors and Affiliations

  1. Fachbereich Mathematik/Informatik, Universität Bremen, 28334, Bremen, Germany

    Horst Herrlich

  2. Dept. of Mathematics, Kansas State University, Manhattan, KS, 66506, USA

    George Strecker

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  1. Department of Mathematics, Virginia Polytechnic Institute and State University, Blacksburg, Virginia, USA

    C. E. Aull

  2. Department of Mathematics and Computer Science, University of Antwerp, RUCA, Antwerp, Belgium

    R. Lowen

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Herrlich, H., Strecker, G. (1997). Categorical Topology — Its Origins, as Exemplified by the Unfolding of the Theory of Topological Reflections and Coreflections before 1971. In: Aull, C.E., Lowen, R. (eds) Handbook of the History of General Topology. History of Topology, vol 1. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-0468-7_15

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