The limiting oscillations of continuous functions
Journal Title: Карпатські математичні публікації - Year 2015, Vol 7, Issue 2
Abstract
We prove that for any upper semicontinuous function f:F→[0;+∞] defined on the boundary F=¯¯¯¯G∖G of some open set G in metrizable space X there is a continuous function g:G→R such that the limiting oscillation ˜ωg of it equals f.
Authors and Affiliations
O. V. Maslyuchenko, D. P. Onypa
Keywords
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- EP ID EP541796
- DOI 10.15330/cmp.7.2.191-196
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