Titlebook: On Thom Spectra, Orientability, and Cobordism; Yuli B. Rudyak Book 1998 Springer-Verlag Berlin Heidelberg 1998 Kobordismus mit Singularitä

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(Co)bordism with Singularities,demonstrate that (co)bordism with singularities establishes a big source of interesting (co)homology theories and, in particular, enables us to construct cohomology theories with prescribed properties (e.g., realizing certain formal groups, etc.)

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Introduction, Moreover, when I quote a result which I do not prove here, I quote the original paper and a monograph where this result is treated as well. There are also occasional remarks containing historical and bibliographical comments, additional results not included in the text, exercises, etc.

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Thom Spectra,ered in Lewis–May–Steinberger [1]. Now it is clear that a proper theory of Thom spaces occurs in the context of sectioned spherical fibrations, and so we pay a lot of attention to sectioned fibrations; they are discussed at the beginning of the chapter.

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Book 1998f cobordism since R. Stong‘s encyclopaedic and 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), framed by (co)homology theories and spectra...

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