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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

ON SOME PROPERTIES OF TOPOS E(Ω ,A)

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2010, v.17 no.4, pp.341-346
Kim, Ig-Sung

Abstract

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

keywords
topos, Boolean, classical, well-pointed

Reference

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Janssen, H. J.;de Cooman, G.;Kerre, E. E.. (2001). Ample fields as a basis for possibilistic processes. Fuzzy Sets and Systems, 120(3), 445-458. 10.1016/S0165-0114(99)00142-6.

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Yuan, X.H.;Li, H.X.;Zhang, C.. (2008). The set-valued mapping based on ample fields. Computers & Mathematics with Applications, 56(8), 1954-1965. 10.1016/j.camwa.2008.04.011.

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics