Orientation of a Triangle

  • Dorcas Attuabea Addo Department of Mathematics, Kwame Nkrumah University of Science and Technology, Kumasi
Keywords: Triangulation, Orientation triangle, Simplex, Manifold, Homeomorphism, Polyhedron

Abstract

The sphere, torus, Klein bottle, and the projective plane are the classical examples of orientable and non-orientable surfaces. In this paper, we give a general review on orientation of a triangle and some applications to topological objects.

References

Borisovich, Y. G., Bliznyakov, N. M., Fomenko, T. N., and Izrailevich, Y. A. (2013). Introduction to differential and algebraic topology, volume 9. Springer Science & Business Media.

Eilenberg, S. and Cartan, H. P. (1956). Homological algebra. Princeton University Press.

FRIEDL, S. (2014). Algebraic topology.

Manolescu, C. (2014). Triangulations of manifolds. ICCM Not, 2(2):21–23.

Matumoto, T. (1978). Triangulation of manifolds. In Algebraic and geometric topology (Proc. Sympos. Pure Math., Stanford Univ., Stanford, Calif., 1976), Part, volume 2, pages 3–6.

Obeng-Denteh, J. O. A. . W. Topology: An overview. Research Gate Publication 2017.

Obeng Denteh, W. (2019). Algebraic Topology notes for MPhil Pure Mathematics. Department of Mathematics, Kwame Nkrumah University of Science and Technology.

Obeng-Denteh, W. and Manu, S. (2012). Essentials of topology in the contemporary times. International Research Journal of Basic and Applied Science, 4:27–30.

Second complement `a l’analysis situs. Proceedings of the London Mathematical Society, 1(1):277–308.

Schwede, S. (2008). Algebraic versus topological triangulated categories. arXiv preprint arXiv:0807.2592.

Spaun, G. O., Zheng, B., and Swanstr ̈om, L. L. (2009). A multitasking platform for natural orifice translumenal endoscopic surgery (notes): a benchtop comparison of a new device for flexible endoscopic surgery and a standard dual-channel endoscope. Surgical endoscopy, 23(12):2720.

Teo, C. H. G. (2011). Classification of surfaces.
Published
2019-07-09