Abstract
Hong and Nel in [8] obtained a number of spectral dualities between a cartesian closed topological category X and a category of algebras of suitable type in X in accordance with the original formalism of Porst and Wischnewsky[12]. In this paper, there arises a dual adjointness S <TEX>$\vdash$</TEX> C between the category X = Lim of limit spaces and that A of MV-algebras in X. We firstly show that the spectral duality: <TEX>$S(A)^{op}{\simeq}C(X^{op})$</TEX> holds for the dualizing object K = I = [0,1] or K = 2 = {0, 1}. Secondly, we study a duality between the category of Tychonoff spaces and the category of semi-simple MV-algebras. Furthermore, it is shown that for any <TEX>$X\;\in\;Lim\;(X\;{\neq}\;{\emptyset})\;C(X,\;I)$</TEX> is densely embedded into a cube <TEX>$I^/H/$</TEX>, where H is a set.
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