The problem of the invariance of dimension in the growth of modern topology, part I

DOI10.1007/BF00327627zbMath0424.54020OpenAlexW4211055385MaRDI QIDQ1135018

Dale M. Johnson

Publication date: 1979

Published in: Archive for History of Exact Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00327627

zbMATH Keywords

bibliographyinvariance of dimension in growth of modern topology

Mathematics Subject Classification ID

Dimension theory in general topology (54F45) History of mathematics in the 19th century (01A55) History of general topology (54-03)

Related Items (9)

Following Béla von Kerékjártó. The Journeys of a Hungarian Mathematician in the Post-war World ⋮ The evolution of the concept of homeomorphism ⋮ Traditional logic and the early history of sets, 1854-1908 ⋮ Motion and continuity ⋮ Answers in search of a question: `proofs' of the tri-dimensionality of space ⋮ From geometry to phenomenology ⋮ A new approach to dimension ⋮ Sur les fondements de l'analyse en France (a partir de lettres inedites de G. Darboux et de l'étude des différentes editions du Cours d'analyse de C. Jordan) ⋮ Algebras, projective geometry, mathematical logic, and constructing the world: intersections in the philosophy of mathematics of A. N. Whitehead.

Cites Work

• The rediscovery of the Cantor-Dedekind correspondence
• The invariance of dimension: Problems in the early development of set theory and topology
• The Jordan Curve Theorem and an unpublished manuscript by Max Dehn
• Prelude to dimension theory: The geometrical investigations of Bernard Bolzano
• The trigonometric background to Georg Cantor's Theory of Sets
• Vom Bolzanoschen Nullstellensatz zur algebraischen Homotopietheorie der Sphären
• The Mean Value of Multiplicative Functions on the Set of Numbers of the Form P + a
• Towards a biography of Georg Cantor
• Emmy Noether
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