Geodesic
Remarks on Two Weak Forms of Continuity
Canadian mathematical bulletin, Tome 25 (1982) no. 1, pp. 59-63

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DOI

New characterizations of weakly-continuous and θ-continuous functions are presented, and θ-continuity is applied to characterize H(i) spaces; a recent characterization of closed graph functions is utilized to characterize H-closed spaces. Noiri has shown that a function λ which is almost-continuous in the sense of Husain is weakly-continuous if cl(λ−1(W)) ⊂ λ−1(cl(W)) for all open W. It is established here that almost-continuity is superfluous in this statement.
DOI : 10.4153/CMB-1982-008-8
Mots-clés : 54C05, 54D25, θ-continuity, weak-continuity, H-closed spaces 
Espelie, M. Solveig; Joseph, James E. Remarks on Two Weak Forms of Continuity. Canadian mathematical bulletin, Tome 25 (1982) no. 1, pp. 59-63. doi: 10.4153/CMB-1982-008-8
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     title = {Remarks on {Two} {Weak} {Forms} of {Continuity}},
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