One-point extensions and derived equivalence

Work of the first author with de la Peña [M. Barot, J.A. de la Peña, Proc. Amer. Math. Soc. 127 (1999) 647–655], concerned with the class of algebras derived equivalent to a tubular algebra, raised the question whether a derived equivalence between two algebras can be extended to one-point extensions. The present paper yields a positive answer.