How Long to Read Weakly Semialgebraic Spaces

How Long Does it Take to Read Weakly Semialgebraic Spaces?

It takes the average reader 6 hours and 45 minutes to read Weakly Semialgebraic Spaces by Manfred Knebusch

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

Description

The book is the second part of an intended three-volume treatise on semialgebraic topology over an arbitrary real closed field R. In the first volume (LNM 1173) the category LSA(R) or regular paracompact locally semialgebraic spaces over R was studied. The category WSA(R) of weakly semialgebraic spaces over R - the focus of this new volume - contains LSA(R) as a full subcategory. The book provides ample evidence that WSA(R) is "the" right cadre to understand homotopy and homology of semialgebraic sets, while LSA(R) seems to be more natural and beautiful from a geometric angle. The semialgebraic sets appear in LSA(R) and WSA(R) as the full subcategory SA(R) of affine semialgebraic spaces. The theory is new although it borrows from algebraic topology. A highlight is the proof that every generalized topological (co)homology theory has a counterpart in WSA(R) with in some sense "the same", or even better, properties as the topological theory. Thus we may speak of ordinary (=singular) homology groups, orthogonal, unitary or symplectic K-groups, and various sorts of cobordism groups of a semialgebraic set over R. If R is not archimedean then it seems difficult to develop a satisfactory theory of these groups within the category of semialgebraic sets over R: with weakly semialgebraic spaces this becomes easy. It remains for us to interpret the elements of these groups in geometric terms: this is done here for ordinary (co)homology.

How long is Weakly Semialgebraic Spaces?

Weakly Semialgebraic Spaces by Manfred Knebusch is 396 pages long, and a total of 101,376 words.

This makes it 134% the length of the average book. It also has 124% more words than the average book.

How Long Does it Take to Read Weakly Semialgebraic Spaces Aloud?

The average oral reading speed is 183 words per minute. This means it takes 9 hours and 13 minutes to read Weakly Semialgebraic Spaces aloud.

What Reading Level is Weakly Semialgebraic Spaces?

Weakly Semialgebraic Spaces 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 Weakly Semialgebraic Spaces?

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