an:01421147
Zbl 0959.54002
Sarkaria, K. S.
The topological work of Henri Poincar??
EN
James, I. M. (ed.), History of topology. Amsterdam: Elsevier. 123-167 (1999).
1999
a
54-03 01A70 55-03 57-03
Topology as we know it today, started with \textit{H. Poincar??}'s ``Analysis Situs'' [J. ??cole Polytechn. Paris (2) 1, 1-123 (1895; JFM 26.0541.07); Oeuvres, Vol. VI, Sceaux: Editions Jacques Gabay 1996, pp. 193-288] and its five `Compl??ments' [Rend. Circ. Mat. Palermo 13, 285-343 (1899; JFM 30.0435.02); Proc. Lond. Math. Soc. 32, 277-308 (1900; JFM 31.0477.10); Bull. Soc. Math. Fr. 30, 49-70 (1902; JFM 33.0499.12) and Rend. Circ. Mat. Palermo 18, 45-110 (1904; JFM 35.0504.13)]. This paper contains the contents of these classics and some remarks relating them to further developments. Section 1 of the paper is a summary of `Analysis Situs'. Section 2 contains notes on this summary. In Sectin 3, the `compl??ments' are summarized and annotated. Necessary changes have been made to tally with modern notations. This is a very useful article for those who want to know the history of topology.
For the entire collection see [Zbl 0922.54003].
T.Thrivikraman (Cochin)
JFM 26.0541.07; JFM 30.0435.02; JFM 31.0477.10; JFM 33.0499.12; JFM 35.0504.13