Investigations of strong right upper porosity at a point. (English) Zbl 1303.28003

Bilet, Viktoriia V.; Dovgoshey, Oleksiy A.

Real Anal. Exch. 39(2013-2014), No. 1, 175-206 (2014).

Let \(E\) be a subset of \([0,\infty)\). Starting from the usual definition of right upper porosity of \(E\) at 0 (this notion essentially goes back to the early works of Denjoy and Khintchine), the authors define and develop several types of strong right upper porosity of \(E\) at 0, obtaining some characterizations for them.

Reviewer: Enrico Zoli (Firenze)

MSC:

28A10	Real- or complex-valued set functions
28A05	Classes of sets (Borel fields, \(\sigma\)-rings, etc.), measurable sets, Suslin sets, analytic sets

Keywords:

one-side porosity; local strong porosity