Abstract
This article recounts the interaction of topology and singularity theory (mainly singularities of complex algebraic varieties) which started in the early part of this century and bloomed in the 1960's with the work of Hirzebruch, Brieskorn, Milnor and others. Some of the topics are followed to the present day. (A chapter for the book "History of Topology", ed. I. M. James)
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