ON SOME PROPERTIES OF TOPOS $E({\Omega},A)$

  • Kim, Ig-Sung (Department of Data Information, Sangji University)
  • 투고 : 2010.06.28
  • 심사 : 2010.11.22
  • 발행 : 2010.11.30

초록

Category $E({\Omega},A)$ forms a topos. We study on some properties of the topos $E({\Omega},A)$. In particular, we show that $E({\Omega},A)$ is well-pointed.

키워드

참고문헌

  1. R. Goldblatt: Topoi. North-Holland, 1984.
  2. H.J. Janssen, G. De. Cooman & E.E. Kerre: Ample fields as a basis for possibilistic processes. Fuzzy Sets and System 120 (2001), 445-458. https://doi.org/10.1016/S0165-0114(99)00142-6
  3. P. T. Johnstone: Topos Theory. Academic Press, N. Y., 1977.
  4. X.H. Yuan, H.X. Li & C. Zhang: The set-valued mapping based on ample fields. Computer and Mathematics with Applications 56 (2008), 1954-1965. https://doi.org/10.1016/j.camwa.2008.04.011