How Long to Read The Goodwillie Tower and the EHP Sequence

How Long Does it Take to Read The Goodwillie Tower and the EHP Sequence?

It takes the average reader 1 hour and 30 minutes to read The Goodwillie Tower and the EHP Sequence by Mark Behrens

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

Description

The author studies the interaction between the EHP sequence and the Goodwillie tower of the identity evaluated at spheres at the prime $2$. Both give rise to spectral sequences (the EHP spectral sequence and the Goodwillie spectral sequence, respectively) which compute the unstable homotopy groups of spheres. He relates the Goodwillie filtration to the $P$ map, and the Goodwillie differentials to the $H$ map. Furthermore, he studies an iterated Atiyah-Hirzebruch spectral sequence approach to the homotopy of the layers of the Goodwillie tower of the identity on spheres. He shows that differentials in these spectral sequences give rise to differentials in the EHP spectral sequence. He uses his theory to recompute the $2$-primary unstable stems through the Toda range (up to the $19$-stem). He also studies the homological behavior of the interaction between the EHP sequence and the Goodwillie tower of the identity. This homological analysis involves the introduction of Dyer-Lashof-like operations associated to M. Ching's operad structure on the derivatives of the identity. These operations act on the mod $2$ stable homology of the Goodwillie layers of any functor from spaces to spaces.

How long is The Goodwillie Tower and the EHP Sequence?

The Goodwillie Tower and the EHP Sequence by Mark Behrens is 90 pages long, and a total of 22,500 words.

This makes it 30% the length of the average book. It also has 27% more words than the average book.

How Long Does it Take to Read The Goodwillie Tower and the EHP Sequence Aloud?

The average oral reading speed is 183 words per minute. This means it takes 2 hours and 2 minutes to read The Goodwillie Tower and the EHP Sequence aloud.

What Reading Level is The Goodwillie Tower and the EHP Sequence?

The Goodwillie Tower and the EHP Sequence 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 The Goodwillie Tower and the EHP Sequence?

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