Typical continuous functions are virtually nonmonotone
Authors: P. Humke and M. Laczkovich
Journal: Proc. Amer. Math. Soc. 94 (1985), 244-248
MSC: Primary 26A15; Secondary 26A48
MathSciNet review: 784172
Abstract: For every porosity premeasure , a typical continuous function meets every monotone function in a bilaterally strongly -porous set. The statement does not remain valid if we replace the class of monotone functions by the class of absolutely continuous functions.
Keywords: Typical continuous functions, intersections with monotone functions, porous sets
Article copyright: © Copyright 1985 American Mathematical Society