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Prismatic Subdivision of a Simplicial Set in a Topological Sense

Yıl 2011, Cilt: 3 Sayı: 2, 76 - 89, 01.06.2011

Öz

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.

Kaynakça

  • B. Akyar, Lattice Gauge Field Theory, Phd. Thesis, Aarhus University, 2002.
  • B. Akyar, J. L. Dupont, Lattice Gauge Field Theory and Prismatic Sets, Math. Scand., 1st issue, vol. 108, (2011).
  • 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.
  • J. L. Dupont, R. Ljungmann, Integration of simplicial forms and Deligne Cohomology, Math. Scand., 96 (1), 2005, 11-39.
  • D. Grayson, Exterior power operations on algebraic K-theory, K-Theory, 3, 1989, 247-260.
  • Ju. T. Lisica, S. Mardešić, Coherent prohomotopy and strong shape theory, Glas. Mat. Ser. III (39), 1984, 335-399.
  • S. Mac Lane, Homology, Grundlehren Math. Wiss., 114, Springer-Verlag, Berlin-G ottingen- Heidelberg, 1963.
  • P. May, Simplicial Objects in Algebraic Topology, Chicago Lectures in Math., 1967.
  • J. E. McClure, J. H. Smith, A solution of Deligne's Hochschild cohomology conjecture, Contemp. Math., 293, 2002, 153 - 193.
  • J. Milnor, The geometric realization of a semi-simplicial complex, Ann. of Math., 2, 1957, 357-362.
  • A.V. Phillips, D.A. Stone, The Chern-Simons character of a lattice gauge field, Quantum Topology, , 244 - 291. G. Segal, Classifying spaces and spectral sequences, Publ. Math. I.H.E.S., 34, 1968, 105-112.
Yıl 2011, Cilt: 3 Sayı: 2, 76 - 89, 01.06.2011

Öz

Kaynakça

  • B. Akyar, Lattice Gauge Field Theory, Phd. Thesis, Aarhus University, 2002.
  • B. Akyar, J. L. Dupont, Lattice Gauge Field Theory and Prismatic Sets, Math. Scand., 1st issue, vol. 108, (2011).
  • 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.
  • J. L. Dupont, R. Ljungmann, Integration of simplicial forms and Deligne Cohomology, Math. Scand., 96 (1), 2005, 11-39.
  • D. Grayson, Exterior power operations on algebraic K-theory, K-Theory, 3, 1989, 247-260.
  • Ju. T. Lisica, S. Mardešić, Coherent prohomotopy and strong shape theory, Glas. Mat. Ser. III (39), 1984, 335-399.
  • S. Mac Lane, Homology, Grundlehren Math. Wiss., 114, Springer-Verlag, Berlin-G ottingen- Heidelberg, 1963.
  • P. May, Simplicial Objects in Algebraic Topology, Chicago Lectures in Math., 1967.
  • J. E. McClure, J. H. Smith, A solution of Deligne's Hochschild cohomology conjecture, Contemp. Math., 293, 2002, 153 - 193.
  • J. Milnor, The geometric realization of a semi-simplicial complex, Ann. of Math., 2, 1957, 357-362.
  • A.V. Phillips, D.A. Stone, The Chern-Simons character of a lattice gauge field, Quantum Topology, , 244 - 291. G. Segal, Classifying spaces and spectral sequences, Publ. Math. I.H.E.S., 34, 1968, 105-112.
Toplam 11 adet kaynakça vardır.

Ayrıntılar

Diğer ID JA65YZ82EJ
Bölüm Makaleler
Yazarlar

B. Akyar Bu kişi benim

Yayımlanma Tarihi 1 Haziran 2011
Yayımlandığı Sayı Yıl 2011 Cilt: 3 Sayı: 2

Kaynak Göster

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.
AMA Akyar B. Prismatic Subdivision of a Simplicial Set in a Topological Sense. IJEAS. Haziran 2011;3(2):76-89.
Chicago Akyar, B. “Prismatic Subdivision of a Simplicial Set in a Topological Sense”. International Journal of Engineering and Applied Sciences 3, sy. 2 (Haziran 2011): 76-89.
EndNote Akyar B (01 Haziran 2011) Prismatic Subdivision of a Simplicial Set in a Topological Sense. International Journal of Engineering and Applied Sciences 3 2 76–89.
IEEE B. Akyar, “Prismatic Subdivision of a Simplicial Set in a Topological Sense”, IJEAS, c. 3, sy. 2, ss. 76–89, 2011.
ISNAD Akyar, B. “Prismatic Subdivision of a Simplicial Set in a Topological Sense”. International Journal of Engineering and Applied Sciences 3/2 (Haziran 2011), 76-89.
JAMA 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, c. 3, sy. 2, 2011, ss. 76-89.
Vancouver Akyar B. Prismatic Subdivision of a Simplicial Set in a Topological Sense. IJEAS. 2011;3(2):76-89.

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