Extending binary operations to funtor-spaces

Mathematics – Category Theory

Scientific paper

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10 pages

Scientific paper

Given a continuous monadic functor T in the category of Tychonov spaces for
each discrete topological semigroup X we extend the semigroup operation of X to
a right-topological semigroup operation on TX whose topological center contains
the dense subsemigroup of all elements of TX that have finite support.

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