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

Chapter
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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© Springer Science+Business Media Dordrecht 1997

Authors and Affiliations

  1. 1.Fachbereich Mathematik/InformatikUniversität BremenBremenGermany
  2. 2.Dept. of MathematicsKansas State UniversityManhattanUSA

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