The Fathers of Dimension

Dirk van Dalen
Additional contact information
Dirk van Dalen: Utrecht University, Department of Philosophy

Chapter Chapter 11 in L.E.J. Brouwer – Topologist, Intuitionist, Philosopher, 2013, pp 395-434 from Springer

Abstract: Abstract In this chapter we find a complete return to topology, to be precise, to dimension theory. In 1923 Brouwer attended the Marburg meeting of the German Math Society, at that same meeting there was a young Russian topologist, Urysohn, who had given a definition of dimension unaware of the fact that Brouwer had already done so. When his attention was called to this fact he checked Brouwer’s 1913 paper and found a mistake. He informed Brouwer and the latter immediately set out to check his old paper. Indeed there was a erroneous detail in the definition. The two corresponded about the matter and eventually agreed that Brouwer’s mistake was a slip of the pen (born out by solid evidence). Almost at the same time Menger had studied the topic and given his own definition of dimension. In 1924 Urysohn and Alexandrov visited Germany, went on to see Brouwer and then went on to France. Urysohn died when swimming in rough weather at the coast of Brittany. Alexandrov and Brouwer were inconsolable, they decided to edit Urysohn’s scientific estate.

Keywords: Editorial Board; Winning Strategy; Dimension Theory; Proof Reading; Dimension Paper (search for similar items in EconPapers)
Date: 2013
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4471-4616-2_11

Ordering information: This item can be ordered from
http://www.springer.com/9781447146162

DOI: 10.1007/978-1-4471-4616-2_11

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().