How Long to Read Cohomology Theories for Compact Abelian Groups

How Long Does it Take to Read Cohomology Theories for Compact Abelian Groups?

It takes the average reader 3 hours and 59 minutes to read Cohomology Theories for Compact Abelian Groups by Karl H. Hofmann

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

Description

Of all topological algebraic structures compact topological groups have perhaps the richest theory since 80 many different fields contribute to their study: Analysis enters through the representation theory and harmonic analysis; differential geo metry, the theory of real analytic functions and the theory of differential equations come into the play via Lie group theory; point set topology is used in describing the local geometric structure of compact groups via limit spaces; global topology and the theory of manifolds again playa role through Lie group theory; and, of course, algebra enters through the cohomology and homology theory. A particularly well understood subclass of compact groups is the class of com pact abelian groups. An added element of elegance is the duality theory, which states that the category of compact abelian groups is completely equivalent to the category of (discrete) abelian groups with all arrows reversed. This allows for a virtually complete algebraisation of any question concerning compact abelian groups. The subclass of compact abelian groups is not so special within the category of compact. groups as it may seem at first glance. As is very well known, the local geometric structure of a compact group may be extremely complicated, but all local complication happens to be "abelian". Indeed, via the duality theory, the complication in compact connected groups is faithfully reflected in the theory of torsion free discrete abelian groups whose notorious complexity has resisted all efforts of complete classification in ranks greater than two.

How long is Cohomology Theories for Compact Abelian Groups?

Cohomology Theories for Compact Abelian Groups by Karl H. Hofmann is 235 pages long, and a total of 59,925 words.

This makes it 79% the length of the average book. It also has 73% more words than the average book.

How Long Does it Take to Read Cohomology Theories for Compact Abelian Groups Aloud?

The average oral reading speed is 183 words per minute. This means it takes 5 hours and 27 minutes to read Cohomology Theories for Compact Abelian Groups aloud.

What Reading Level is Cohomology Theories for Compact Abelian Groups?

Cohomology Theories for Compact Abelian Groups 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 Cohomology Theories for Compact Abelian Groups?

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