How Long to Read Topology of Closed One-forms

How Long Does it Take to Read Topology of Closed One-forms?

It takes the average reader 4 hours and 11 minutes to read Topology of Closed One-forms by Michael Farber

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

Description

This monograph is an introduction to the fascinating field of the topology, geometry and dynamics of closed one-forms. The subject was initiated by S. P. Novikov in 1981 as a study of Morse type zeros of closed one-forms. The first two chapters of the book, written in textbook style, give a detailed exposition of Novikov theory, which plays a fundamental role in geometry and topology. Subsequent chapters of the book present a variety of topics where closed one-forms play a central role. The most significant results are the following: the solution of the problem of exactness of the Novikov inequalities for manifolds with the infinite cyclic fundamental group; the solution of a problem raised by E. Calabi about intrinsically harmonic closed one-forms and their Morse numbers; and, the construction of a universal chain complex which bridges the topology of the underlying manifold with information about zeros of closed one-forms.This complex implies many interesting inequalities including Bott-type inequalities, equivariant inequalities, and inequalities involving von Neumann Betti numbers. The construction of a novel Lusternik-Schnirelman-type theory for dynamical systems. Closed one-forms appear in dynamics through the concept of a Lyapunov one-form of a flow. As is shown in the book, homotopy theory may be used to predict the existence of homoclinic orbits and homoclinic cycles in dynamical systems ('focusing effect').

How long is Topology of Closed One-forms?

Topology of Closed One-forms by Michael Farber is 246 pages long, and a total of 62,976 words.

This makes it 83% the length of the average book. It also has 77% more words than the average book.

How Long Does it Take to Read Topology of Closed One-forms Aloud?

The average oral reading speed is 183 words per minute. This means it takes 5 hours and 44 minutes to read Topology of Closed One-forms aloud.

What Reading Level is Topology of Closed One-forms?

Topology of Closed One-forms 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 Topology of Closed One-forms?

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