It takes the average reader 1 hour and 51 minutes to read Equivariant Orthogonal Spectra and S-Modules by M. A. Mandell
Assuming a reading speed of 250 words per minute. Learn more
The last few years have seen a revolution in our understanding of the foundations of stable homotopy theory. Many symmetric monoidal model categories of spectra whose homotopy categories are equivalent to the stable homotopy category are now known, whereas no such categories were known before 1993. The most well-known examples are the category of $S$-modules and the category of symmetric spectra. We focus on the category of orthogonal spectra, which enjoys some of the best features of $S$-modules and symmetric spectra and which is particularly well-suited to equivariant generalization. We first complete the nonequivariant theory by comparing orthogonal spectra to $S$-modules. We then develop the equivariant theory.For a compact Lie group $G$, we construct a symmetric monoidal model category of orthogonal $G$-spectra whose homotopy category is equivalent to the classical stable homotopy category of $G$-spectra. We also complete the theory of $S_G$-modules and compare the categories of orthogonal $G$-spectra and $S_G$-modules. A key feature is the analysis of change of universe, change of group, fixed point, and orbit functors in these two highly structured categories for the study of equivariant stable homotopy theory.
Equivariant Orthogonal Spectra and S-Modules by M. A. Mandell is 108 pages long, and a total of 27,864 words.
This makes it 36% the length of the average book. It also has 34% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 2 hours and 32 minutes to read Equivariant Orthogonal Spectra and S-Modules aloud.
Equivariant Orthogonal Spectra and S-Modules is suitable for students ages 10 and up.
Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.
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