Abstract. It is well known that the category of all universal algebras with one unary operation is cartesian closed. We extend this result for the category of universal algebras of a fixed type all of whose operations are unary. That is, we show that the category is cartesian closed. In fact, we characterize some cartesian closed full isomorphism closed subcategories of using a concept called -friendly.

Received: March 13, 2012

AMS Subject Classification: 08A25, 08A60, 08A30, 08C05, 17A30, 18A40, 18B99, 18D15, 54A05

Key Words and Phrases: topological category, topological functors, universal algebra, topological algebra, cartesian closed, canonical function spaces

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