Sumario: | These notes represent the outgrowth of an offer by Princeton University to let me teach a graduate level course in cobordism theory. Even though cobordism notions appear in the earliest literature of algebraic topology, it has only been since the work of Thorn in 1954 that more than isolated results have been available. Since that time the growth of this area has been phenomenal but has largely taken the form of individual research papers. To a certain extent, the nature of cobordism as a classificational tool has led to the study of many individual applications rather than the development of a central theory. There is no complete exposition of the fundamental results of cobordism theory, and it is hoped that these notes may help to fill this gap. Being intended for graduate and research level work, no attempt is made here to use only elementary ideas. It is assumed that the reader knows algebraic topology thoroughly, with cobordism being treated here as an application of topology. In many cases this is not the fashion in which development took place, for ideas from cobordism have frequently led to new methods in topology itself.
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