Rosen, Harvey Porosity in spaces of Darboux-like functions. (English) Zbl 1035.26004 Real Anal. Exch. 26(2000-2001), No. 1, 195-200 (2001). The author considers some sets of real functions of a real variable and spaces of functions endowed with the metric of uniform convergence. The main results: C is porous in Ext; AC is not porous in Conn; Conn is not porous in D, but Conn is a boundary set in D; D is porous in PC; where C(Ext, AC, Conn, D, PC) denotes a set (as well a space) of all continuous (extendable, almost continuous, connectivity, Darboux, perpherially continuous) functions. Reviewer: Ryszard Pawlak (Łódź) Cited in 3 Documents MSC: 26A15 Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable 54C08 Weak and generalized continuity 54C35 Function spaces in general topology Keywords:extendable functions; peripherally continuous functions; connectivity functions; Darboux functions; porosity; metric of uniform convergence × Cite Format Result Cite Review PDF