The emergence of open sets, closed sets, and limit points in analysis and topology

DOI10.1016/j.hm.2008.01.001zbMath1153.54001OpenAlexW1974175206MaRDI QIDQ950256

Gregory H. Moore

Publication date: 22 October 2008

Published in: Historia Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.hm.2008.01.001

zbMATH Keywords

L-spacetopological spaceclosed setgeneral topologyHeine-Borel theoremderived setBolzano-Weierstrass theoremclosure of a setlimit point of a setopen set

Mathematics Subject Classification ID

History of mathematics in the 20th century (01A60) History of mathematics in the 19th century (01A55) History of manifolds and cell complexes (57-03) History of general topology (54-03)

Related Items (6)

As Notas de Aula de Karl Weierstrass em 1878 ⋮ Motion and continuity ⋮ Unnamed Item ⋮ Cultivating a research imperative: mentoring mathematics at \textit{Stockholms Högskola}, 1882--1887 ⋮ Frigyes Riesz and the emergence of general topology. The roots of `topological space' in geometry ⋮ The topology of a quantale valued metric space

Cites Work

• Labyrinth of thought. A history of set theory and its role in modern mathematics
• The axiomatization of linear algebra: 1875-1940
• The evolution of the concept of homeomorphism
• The trigonometric background to Georg Cantor's Theory of Sets
• Historians and Philosophers of Logic: Are They Compatible? The Bolzano-Weierstrass Theorem as a Case Study
• Evolution of the Topological Concept of "Connected"
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