Higher limits, homology theories and fr-codes

Sergei O. Ivanov, Roman Mikhailov

    Research output

    1 Citation (Scopus)

    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 languageEnglish
    Pages (from-to)229-261
    Number of pages33
    JournalLecture Notes Series, Institute for Mathematical Sciences
    Volume35
    Publication statusPublished - 1 Jan 2018

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    Functor
    Homology
    Homology Groups
    Tensor Product
    Abelian group

    Scopus subject areas

    • Mathematics(all)

    Cite this

    Ivanov, Sergei O. ; Mikhailov, Roman. / Higher limits, homology theories and fr-codes. In: Lecture Notes Series, Institute for Mathematical Sciences. 2018 ; Vol. 35. pp. 229-261.
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    Higher limits, homology theories and fr-codes. / Ivanov, Sergei O.; Mikhailov, Roman.

    In: Lecture Notes Series, Institute for Mathematical Sciences, Vol. 35, 01.01.2018, p. 229-261.

    Research output

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