How Long to Read Proper Maps of Toposes

How Long Does it Take to Read Proper Maps of Toposes?

It takes the average reader 2 hours and 7 minutes to read Proper Maps of Toposes by Ieke Moerdijk

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

Description

We develop the theory of compactness of maps between toposes, together with associated notions of separatedness. This theory is built around two versions of "propriety" for topos maps, introduced here in a parallel fashion. The first, giving what we simply call "proper" maps, is a relatively weak condition due to Johnstone. The second kind of proper maps, here called "tidy", satisfy a stronger condition due to Tierney and Lindgren. Various forms of the Beck-Chevalley condition for (lax) fibered product squares of toposes play a central role in the development of the theory. Applications include a version of the Reeb stability theorem for toposes, a characterization of hyperconnected Hausdorff toposes as classifying toposes of compact groups, and of strongly Hausdorff coherent toposes as classifiying toposes of profinite groupoids. Our results also enable us to develop further particular aspects of the factorization theory of geometric morphisms studied by Johnstone. Our final application is a (so-called lax) descent theorem for tidy maps between toposes. This theorem implies the lax descent theorem for coherent toposes, conjectured by Makkai and proved earlier by Zawadowski.

How long is Proper Maps of Toposes?

Proper Maps of Toposes by Ieke Moerdijk is 125 pages long, and a total of 31,875 words.

This makes it 42% the length of the average book. It also has 39% more words than the average book.

How Long Does it Take to Read Proper Maps of Toposes Aloud?

The average oral reading speed is 183 words per minute. This means it takes 2 hours and 54 minutes to read Proper Maps of Toposes aloud.

What Reading Level is Proper Maps of Toposes?

Proper Maps of Toposes 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 Proper Maps of Toposes?

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