On Thom Spectra, Orientability, and Cobordism (1998. Corr. 2nd Printing 2007)Hardcover - 1998. Corr. 2nd Printing 2007, 16 April 1998

Rudyak's groundbreaking monograph is the first guide on the subject of cobordism since Stong's influential notes of a generation ago. It concentrates on Thom spaces (spectra), orientability theory and (co)bordism theory (including (co)bordism with singularities and, in particular, Morava K-theories). These are all framed by (co)homology theories and spectra. The author has also performed a service to the history of science in this book, giving detailed attributions.