M. V. Ladoshkin, “Construction of an analogue of simplicial degenerations in the $A_\infty$-case”, University proceedings. Volga region. Physical and mathematical sciences, 2011, no. 2, 80

University proceedings. Volga region. Physical and mathematical sciences

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University proceedings. Volga region. Physical and mathematical sciences, 2011, Issue 2, Pages 80–89 (Mi ivpnz570)

This article is cited in 2 scientific papers (total in 2 papers)

Construction of an analogue of simplicial degenerations in the

A_{\infty}

$A_\infty$ -case

M. V. Ladoshkin

Mordovia State Pedagogical Institute named after M. E. Evsevyev, Saransk

Full-text PDF (336 kB) Citations (2)

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Abstract: The article considers the construction of

A_{\infty}

$A_\infty$ -case simplicial degeneracy analogue. The author presents a design of higher facets, proves their existence on the homology, and addresses the effect of the differential on this site. As the proof of the existence theorem is constructive, it allows to construct new objects on the homology of chain complexes. While proving the theorems the author used the technique of SDR-situations.

Keywords: simplicial object, homology. homotopy stable, SDR-situation, high degenerations.

Document Type: Article

UDC: 512.662.1

Language: Russian

Citation: M. V. Ladoshkin, “Construction of an analogue of simplicial degenerations in the

A_{\infty}

$A_\infty$ -case”, University proceedings. Volga region. Physical and mathematical sciences, 2011, no. 2, 80–89

Citation in format AMSBIB

\Bibitem{Lad11}

\by M.~V.~Ladoshkin

\paper Construction of an analogue of simplicial degenerations in the $A_\infty$-case

\jour University proceedings. Volga region. Physical and mathematical sciences

\yr 2011

\issue 2

\pages 80--89

\mathnet{http://mi.mathnet.ru/ivpnz570}

Linking options:

https://www.mathnet.ru/eng/ivpnz570

https://www.mathnet.ru/eng/ivpnz/y2011/i2/p80

This publication is cited in the following 2 articles:

M. V. Ladoshkin, “Dopolnitelnye operatsii na komplekse Khokhshilda dlya simplitsialnogo mnozhestva”, Izvestiya vysshikh uchebnykh zavedenii. Povolzhskii region. Fiziko-matematicheskie nauki, 2015, no. 4, 20–28
M. V. Ladoshkin, “Gomotopicheski ustoichivyi analog simplitsialnogo ob'ekta”, Izvestiya vysshikh uchebnykh zavedenii. Povolzhskii region. Fiziko-matematicheskie nauki, 2012, no. 4, 3–11

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

University proceedings. Volga region. Physical and mathematical sciences

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