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Restrictive Semigroups of Closed Functions
Published online by Cambridge University Press: 20 November 2018
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It is assumed that all topological spaces discussed in this paper are T1 spaces. A function ƒ mapping a topological space X into itself is a closed function if ƒ[H] is closed for each closed subset H of S. The semigroup, under composition, of all closed functions mapping X into X is denoted by Γ(X). These were among the semigroups under consideration in (4).
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- Copyright © Canadian Mathematical Society 1968
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