TY - CHAP

T1 - Higher limits, homology theories and fr-codes

AU - Ivanov, Sergei O.

AU - Mikhailov, Roman

PY - 2017/1/1

Y1 - 2017/1/1

N2 - This text contains an introduction to the theory of limits over the category of presentations, with examples of different well-known functors like homology or derived functors of non-additive functors in the form of derived limits. The theory of so-called fr-codes is also developed. This is a method that shows how different functors from the category of groups to the category of abelian groups, such as group homology and tensor products of abelianization, can be coded as sentences in the alphabet with two symbols f and r.

AB - This text contains an introduction to the theory of limits over the category of presentations, with examples of different well-known functors like homology or derived functors of non-additive functors in the form of derived limits. The theory of so-called fr-codes is also developed. This is a method that shows how different functors from the category of groups to the category of abelian groups, such as group homology and tensor products of abelianization, can be coded as sentences in the alphabet with two symbols f and r.

UR - http://www.scopus.com/inward/record.url?scp=85041613947&partnerID=8YFLogxK

U2 - 10.1142/9789813226579_0004

DO - 10.1142/9789813226579_0004

M3 - Chapter

AN - SCOPUS:85041613947

SN - 9789813226562

SP - 229

EP - 261

BT - Combinatorial and Toric Homotopy

PB - WORLD SCIENTIFIC PUBL CO PTE LTD

ER -