### Abstract

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.

Original language | English |
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Pages (from-to) | 229-261 |

Number of pages | 33 |

Journal | Lecture Notes Series, Institute for Mathematical Sciences |

Volume | 35 |

Publication status | Published - 1 Jan 2018 |

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### Scopus subject areas

- Mathematics(all)

### Cite this

*Lecture Notes Series, Institute for Mathematical Sciences*,

*35*, 229-261.

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*Lecture Notes Series, Institute for Mathematical Sciences*, vol. 35, pp. 229-261.

**Higher limits, homology theories and fr-codes.** / Ivanov, Sergei O.; Mikhailov, Roman.

Research output

TY - JOUR

T1 - Higher limits, homology theories and fr-codes

AU - Ivanov, Sergei O.

AU - Mikhailov, Roman

PY - 2018/1/1

Y1 - 2018/1/1

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=85034051957&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:85034051957

VL - 35

SP - 229

EP - 261

JO - Lecture Notes Series, Institute for Mathematical Sciences

JF - Lecture Notes Series, Institute for Mathematical Sciences

SN - 1793-0758

ER -