Abstract
The example popularly known as “The Sorgenfrey Line” had its place in topological literature long before Sorgenfrey used it as an example to show that paracompactness is not productive. It existed as a subspace of an example P.S. Alexandroff called “The Double Arrow Space” and on one occasion he expressed the fact that he was a little peeved that Sorgenfrey has received all the credit. We will discuss the origins of both spaces and examine the controversy which existed mainly in the mind of P.S. Alexandroff. All translations in this paper are the author’s.
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References
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© 1998 Springer Science+Business Media Dordrecht
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Cameron, D.E. (1998). The Alexandroff-Sorgenfrey Line. In: Aull, C.E., Lowen, R. (eds) Handbook of the History of General Topology. History of Topology, vol 2. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-1756-4_13
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DOI: https://doi.org/10.1007/978-94-017-1756-4_13
Publisher Name: Springer, Dordrecht
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