How Long to Read On the Algebraic Foundations of Bounded Cohomology

How Long Does it Take to Read On the Algebraic Foundations of Bounded Cohomology?

It takes the average reader 2 hours and 9 minutes to read On the Algebraic Foundations of Bounded Cohomology by Theo Bühler

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

Description

It is a widespread opinion among experts that (continuous) bounded cohomology cannot be interpreted as a derived functor and that triangulated methods break down. The author proves that this is wrong. He uses the formalism of exact categories and their derived categories in order to construct a classical derived functor on the category of Banach $G$-modules with values in Waelbroeck's abelian category. This gives us an axiomatic characterization of this theory for free, and it is a simple matter to reconstruct the classical semi-normed cohomology spaces out of Waelbroeck's category. The author proves that the derived categories of right bounded and of left bounded complexes of Banach $G$-modules are equivalent to the derived category of two abelian categories (one for each boundedness condition), a consequence of the theory of abstract truncation and hearts of $t$-structures. Moreover, he proves that the derived categories of Banach $G$-modules can be constructed as the homotopy categories of model structures on the categories of chain complexes of Banach $G$-modules, thus proving that the theory fits into yet another standard framework of homological and homotopical algebra.

How long is On the Algebraic Foundations of Bounded Cohomology?

On the Algebraic Foundations of Bounded Cohomology by Theo Bühler is 126 pages long, and a total of 32,256 words.

This makes it 43% the length of the average book. It also has 39% more words than the average book.

How Long Does it Take to Read On the Algebraic Foundations of Bounded Cohomology Aloud?

The average oral reading speed is 183 words per minute. This means it takes 2 hours and 56 minutes to read On the Algebraic Foundations of Bounded Cohomology aloud.

What Reading Level is On the Algebraic Foundations of Bounded Cohomology?

On the Algebraic Foundations of Bounded Cohomology 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.

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

Where Can I Buy On the Algebraic Foundations of Bounded Cohomology?

On the Algebraic Foundations of Bounded Cohomology by Theo Bühler is sold by several retailers and bookshops. However, Read Time works with Amazon to provide an easier way to purchase books.

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