Research Article

Hurewicz and Poincare Theorems for Simplicial Modules

Volume: 5 Number: 2 June 1, 2022
EN

Hurewicz and Poincare Theorems for Simplicial Modules

Abstract

We will give the simplicial analogues of Hurewicz and Poincaré theorems as an application of simplicial homology and homotopy.

Keywords

References

  1. [1] J. C. Moore, Homotopie des Complexes Mon¨oideaux, Seminaire Henri Cartan, 1954.
  2. [2] J. W. Milnor, The geometric realization of a semi-simplicial complex, Ann. of Math., 2 (65) (1957), 357-362.
  3. [3] M. Andre, Homologie des Algebres Commutatives, Springer-Verlag, 1970.
  4. [4] D. Quillen, Higher algebraic K-theory, Proc. Seattle Lec., Notes Math., Springer, 341 (1973), 85-147.
  5. [5] Z. Arvasi, T. Porter, Higher dimensional peiffer elements in simplicial commutative algebras, Theory Appl. Categ., 3 (1997), 1-23.
  6. [6] Z. Arvasi, T. Porter, Simplicial and crossed resolutions of commutative algebra, J. Algebra, 181 (1996), 426-448.
  7. [7] J. Wu, Simplicial objects and homotopy groups, Lecture Notes Series Institute for Mathematical Sciences, National University of Singapore, World scientific, 19 (2010), 31-183.
  8. [8] E. B. Curtis, Simplicial homotopy theory, Adv. Math., 6 (1971), 107-209.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

June 1, 2022

Submission Date

December 1, 2021

Acceptance Date

February 25, 2022

Published in Issue

Year 2022 Volume: 5 Number: 2

APA
Ilgaz Çağlayan, E. (2022). Hurewicz and Poincare Theorems for Simplicial Modules. Fundamental Journal of Mathematics and Applications, 5(2), 81-88. https://doi.org/10.33401/fujma.1031108
AMA
1.Ilgaz Çağlayan E. Hurewicz and Poincare Theorems for Simplicial Modules. Fundam. J. Math. Appl. 2022;5(2):81-88. doi:10.33401/fujma.1031108
Chicago
Ilgaz Çağlayan, Elif. 2022. “Hurewicz and Poincare Theorems for Simplicial Modules”. Fundamental Journal of Mathematics and Applications 5 (2): 81-88. https://doi.org/10.33401/fujma.1031108.
EndNote
Ilgaz Çağlayan E (June 1, 2022) Hurewicz and Poincare Theorems for Simplicial Modules. Fundamental Journal of Mathematics and Applications 5 2 81–88.
IEEE
[1]E. Ilgaz Çağlayan, “Hurewicz and Poincare Theorems for Simplicial Modules”, Fundam. J. Math. Appl., vol. 5, no. 2, pp. 81–88, June 2022, doi: 10.33401/fujma.1031108.
ISNAD
Ilgaz Çağlayan, Elif. “Hurewicz and Poincare Theorems for Simplicial Modules”. Fundamental Journal of Mathematics and Applications 5/2 (June 1, 2022): 81-88. https://doi.org/10.33401/fujma.1031108.
JAMA
1.Ilgaz Çağlayan E. Hurewicz and Poincare Theorems for Simplicial Modules. Fundam. J. Math. Appl. 2022;5:81–88.
MLA
Ilgaz Çağlayan, Elif. “Hurewicz and Poincare Theorems for Simplicial Modules”. Fundamental Journal of Mathematics and Applications, vol. 5, no. 2, June 2022, pp. 81-88, doi:10.33401/fujma.1031108.
Vancouver
1.Elif Ilgaz Çağlayan. Hurewicz and Poincare Theorems for Simplicial Modules. Fundam. J. Math. Appl. 2022 Jun. 1;5(2):81-8. doi:10.33401/fujma.1031108

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