Prismatic Subdivision of a Simplicial Set in a Topological Sense

Volume: 3 Number: 2 June 1, 2011
  • B. Akyar
EN

Prismatic Subdivision of a Simplicial Set in a Topological Sense

Abstract

We study prismatic sets which are very closely related to simplicial sets. The realization of a prismatic set leads us to the prismatic subdivision of a simplicial set which is a special case of prismatic sets. We show the topological relation between the prismatic subdivision of a simplicial set S and S itself and we give the nerve of this construction.

References

  1. B. Akyar, Lattice Gauge Field Theory, Phd. Thesis, Aarhus University, 2002.
  2. B. Akyar, J. L. Dupont, Lattice Gauge Field Theory and Prismatic Sets, Math. Scand., 1st issue, vol. 108, (2011).
  3. B. Akyar, Construction of Bundles on Simplicial sets and Transition functions, to appear in AJSE, G. E. Bredon, Topology and Geometry, GTM, Springer-Verlag New York, 1993.
  4. J. L. Dupont, R. Ljungmann, Integration of simplicial forms and Deligne Cohomology, Math. Scand., 96 (1), 2005, 11-39.
  5. D. Grayson, Exterior power operations on algebraic K-theory, K-Theory, 3, 1989, 247-260.
  6. Ju. T. Lisica, S. Mardešić, Coherent prohomotopy and strong shape theory, Glas. Mat. Ser. III (39), 1984, 335-399.
  7. S. Mac Lane, Homology, Grundlehren Math. Wiss., 114, Springer-Verlag, Berlin-G ottingen- Heidelberg, 1963.
  8. P. May, Simplicial Objects in Algebraic Topology, Chicago Lectures in Math., 1967.

Details

Primary Language

English

Subjects

-

Journal Section

-

Authors

B. Akyar This is me

Publication Date

June 1, 2011

Submission Date

June 1, 2011

Acceptance Date

-

Published in Issue

Year 2011 Volume: 3 Number: 2

APA
Akyar, B. (2011). Prismatic Subdivision of a Simplicial Set in a Topological Sense. International Journal of Engineering and Applied Sciences, 3(2), 76-89. https://izlik.org/JA32UA72KJ
AMA
1.Akyar B. Prismatic Subdivision of a Simplicial Set in a Topological Sense. IJEAS. 2011;3(2):76-89. https://izlik.org/JA32UA72KJ
Chicago
Akyar, B. 2011. “Prismatic Subdivision of a Simplicial Set in a Topological Sense”. International Journal of Engineering and Applied Sciences 3 (2): 76-89. https://izlik.org/JA32UA72KJ.
EndNote
Akyar B (June 1, 2011) Prismatic Subdivision of a Simplicial Set in a Topological Sense. International Journal of Engineering and Applied Sciences 3 2 76–89.
IEEE
[1]B. Akyar, “Prismatic Subdivision of a Simplicial Set in a Topological Sense”, IJEAS, vol. 3, no. 2, pp. 76–89, June 2011, [Online]. Available: https://izlik.org/JA32UA72KJ
ISNAD
Akyar, B. “Prismatic Subdivision of a Simplicial Set in a Topological Sense”. International Journal of Engineering and Applied Sciences 3/2 (June 1, 2011): 76-89. https://izlik.org/JA32UA72KJ.
JAMA
1.Akyar B. Prismatic Subdivision of a Simplicial Set in a Topological Sense. IJEAS. 2011;3:76–89.
MLA
Akyar, B. “Prismatic Subdivision of a Simplicial Set in a Topological Sense”. International Journal of Engineering and Applied Sciences, vol. 3, no. 2, June 2011, pp. 76-89, https://izlik.org/JA32UA72KJ.
Vancouver
1.B. Akyar. Prismatic Subdivision of a Simplicial Set in a Topological Sense. IJEAS [Internet]. 2011 Jun. 1;3(2):76-89. Available from: https://izlik.org/JA32UA72KJ

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