Grande, Zbigniew; Sołtysik, Leszek On sequences of real functions with the Darboux property. (English) Zbl 0754.26001 Math. Slovaca 40, No. 3, 261-265 (1990). The authors prove the following two theorems:1. Each pointwise discontinuous real function of a real variable is the limit of a sequence of quasi-continuous functions with the Darboux property.2. Each real function of a real variable with the Baire property is the limit of a sequence of pointwise discontinuous functions with the Darboux property. Reviewer: L.Mišík (Bratislava) Cited in 3 Documents MSC: 26A15 Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable Keywords:quasi-continuous functions; Baire property; pointwise discontinuous functions; Darboux property × Cite Format Result Cite Review PDF Full Text: EuDML References: [1] GRANDE Z.: Sur la quasi-continuité et la quasi-continuité approximative. Fund. Math. 129, 1988, 167-172. · Zbl 0657.26003 [2] GRANDE Z., SOŁTYSIK L.: Some remarks on quasi-continuous real functions. Problemy Matematiczne · Zbl 0705.26008 [3] KEMPISTY S.: Sur les fonctions quasicontinues. Fund. Math. 19, 1932, 184-197. · Zbl 0005.19802 [4] KURATOWSKI K.: Topologie I. Warszawa 1958. · Zbl 0078.14603 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.