"Although the theory of s (s where the underlying space is a and the group operations are ) goes back to around 1870 the theory of topological groups in a more general sense seem not to have been considered until 1925 when and , independently, made the basic definitions, rather in the spirit of , and since then this too has developed into a major branch of . It was Weil (1937) who wrote the first definitive study of s and applied the theory to both s and topological groups. However the basic idea was already emerging early in the century, indeed the concepts of and were well understood by Weierstrass and by Cauchy before him."
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Fellows of the Royal SocietyMathematicians from EnglandUniversity of Oxford facultyUniversity of Oxford alumniHistorians of mathematics
Original Language: English
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(230 pages; quote from p. xv; 1st edition 1999; earlier version of book published in 1987 with title Topological and Uniform Spaces)
https://en.wikiquote.org/wiki/Ioan_James
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Ioan James
(23 May 1928 – 21 February 2025) was an English mathematician, known for his research in , and historian of mathematics, science, and engineering. He was elected in 1968 a Fellow of the and was awarded in 1978 the . He served as President of the for a two-year term from 1984 to 1986.
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