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This note will provide a lightning tour through the centuries, concentrating on the study of manifolds of dimension 2, 3, and 4. Further comments and more technical details about many of the sections may be found in the Appendix. È ÖØ ½º ÈÖ ÐÙ ØÓ ÌÓÔÓÐÓ Ý The subject known as topology took shape in the 19th century, made dramatic progress during the 20th century, and is flourishing in the 21st. But before there was any idea of topology, there were isolated results which hinted that there shoulddoi:10.1090/bull/1507 fatcat:3ekms4ncgza7bkknsprispkkgy