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Pasting lemmas for \(g\)-continuous functions. (English) Zbl 1160.54009

Summary: The Pasting Lemma for continuous functions plays a key role in algebraic topology. Several mathematicians have established pasting lemmas for some stronger and weaker forms of continuous functions. In this paper we prove pasting lemmas for \(rg\)-continuous, \(gp\)-continuous, \(gc\)-irresolute, and \(gpr\)-continuous functions.

MSC:

54C08 Weak and generalized continuity
54A05 Topological spaces and generalizations (closure spaces, etc.)
54C05 Continuous maps
54C10 Special maps on topological spaces (open, closed, perfect, etc.)
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