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Cubical and Simplicial Sets in the Category of Quivers

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References

  1. P. Alexandroff, Rec. Math. [Mat. Sb.] N. S. 2 (44) (3), 501–519 (1937).

    Google Scholar 

  2. A. A. Grigor’yan, Yu. V. Muranov and R. B. Jimenez, Math. Notes 109 (5), 712 (2021).

    Article  MathSciNet  Google Scholar 

  3. J.-P. Serre, in Oeuvres—Collected Papers (Springer, Berlin, 2003), Vol. 1, pp. 66–104.

    Google Scholar 

  4. D. M. Kan, Proc. Nat. Acad. Sci. U. S. A. 41, 1092 (1955).

    Article  MathSciNet  Google Scholar 

  5. A. A. Grigor’yan, R. Jimenez, Y. V. Muranov, and S.-T. Yau, Homology Homotopy Appl. 20 (2), 179 (2018).

    Article  MathSciNet  Google Scholar 

  6. A. A. Grigor’yan, Y. V. Muranov, V. V. Vershinin, and S.-T. Yau, Forum Math. 30 (5), 1319 (2018).

    Article  MathSciNet  Google Scholar 

  7. Yu. V. Muranov, Math. Notes 112 (1), 159 (2022).

    Article  MathSciNet  Google Scholar 

  8. R. Brown, P. J. Higgins, and R. Sivera, Nonabelian Algebraic Topology. Filtered Spaces, Crossed Complexes, Cubical Homotopy Groupoids, in EMS Tracts in Math. (European Math. Soc., Zürich, 2007), Vol. 15.

    MATH  Google Scholar 

  9. J. P. May, Simplicial Objects in Algebraic Topology (Van Nostrand, Chicago–London, 1967).

    MATH  Google Scholar 

  10. N. P. Dolbilin, Yu. M. Zinoviev, A. S. Mishchenko, M. A. Shtan’ko, and M. I. Shtogrin, Funct. Anal. Appl. 30 (3), 163 (1996).

    Article  MathSciNet  Google Scholar 

  11. N. P. Dolbilin, M. A. Shtan’ko, and M. I. Shtogrin, Russian Acad. Sci. Izv. Math. 44 (2), 301 (1995).

    MathSciNet  Google Scholar 

  12. J. H. Bernstein, I. M. Gel’fand, and V. A. Ponomarev, Russian Math. Surveys 28 (2), 17 (1973).

    Article  Google Scholar 

  13. E. E. Enochs and I. Herzog, Canad. J. Math. 51 (2), 294 (1999).

    Article  MathSciNet  Google Scholar 

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Correspondence to Yu. V. Muranov.

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Translated from Matematicheskie Zametki, 2023, Vol. 114, pp. 149–153 https://doi.org/10.4213/mzm13866.

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Vershinin, V.V., Muranov, Y.V. Cubical and Simplicial Sets in the Category of Quivers. Math Notes 114, 122–126 (2023). https://doi.org/10.1134/S0001434623070131

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