How Long to Read Parametrized Homotopy Theory

How Long Does it Take to Read Parametrized Homotopy Theory?

It takes the average reader 7 hours and 46 minutes to read Parametrized Homotopy Theory by J. Peter May

Assuming a reading speed of 250 words per minute. Learn more

Description

This book develops rigorous foundations for parametrized homotopy theory, which is the algebraic topology of spaces and spectra that are continuously parametrized by the points of a base space. It also begins the systematic study of parametrized homology and cohomology theories. The parametrized world provides the natural home for many classical notions and results, such as orientation theory, the Thom isomorphism, Atiyah and Poincare duality, transfer maps, the Adams and Wirthmuller isomorphisms, and the Serre and Eilenberg-Moore spectral sequences. But in addition to providing a clearer conceptual outlook on these classical notions, it also provides powerful methods to study new phenomena, such as twisted $K$-theory, and to make new constructions, such as iterated Thom spectra. Duality theory in the parametrized setting is particularly illuminating and comes in two flavors. One allows the construction and analysis of transfer maps, and a quite different one relates parametrized homology to parametrized cohomology. The latter is based formally on a new theory of duality in symmetric bicategories that is of considerable independent interest. The text brings together many recent developments in homotopy theory. It provides a highly structured theory of parametrized spectra, and it extends parametrized homotopy theory to the equivariant setting. The theory of topological model categories is given a more thorough treatment than is available in the literature. This is used, together with an interesting blend of classical methods, to resolve basic foundational problems that have no nonparametrized counterparts.

How long is Parametrized Homotopy Theory?

Parametrized Homotopy Theory by J. Peter May is 456 pages long, and a total of 116,736 words.

This makes it 154% the length of the average book. It also has 143% more words than the average book.

How Long Does it Take to Read Parametrized Homotopy Theory Aloud?

The average oral reading speed is 183 words per minute. This means it takes 10 hours and 37 minutes to read Parametrized Homotopy Theory aloud.

What Reading Level is Parametrized Homotopy Theory?

Parametrized Homotopy Theory is suitable for students ages 12 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.

When deciding what to show young students always use your best judgement and consult a professional.

Where Can I Buy Parametrized Homotopy Theory?

Parametrized Homotopy Theory by J. Peter May is sold by several retailers and bookshops. However, Read Time works with Amazon to provide an easier way to purchase books.

To buy Parametrized Homotopy Theory by J. Peter May on Amazon click the button below.