We want to announce our preprint available as arXiv:1504.03886 On reflective subcategories of localy presentable categories ------------------------------------------------------------ ABSTRACT: Are all subcategories of locally finitely presentable categories that are closed under limits and ??-filtered colimits also locally presentable? For full subcategories the answer is affirmative. Makkai and Pitts proved that in the case ??=???0 the answer is affirmative also for all iso-full subcategories, i.e., those containing with every pair of objects all isomorphisms between them. We discuss a possible generalization of that result to an arbitrary ??. Jiri Adamek and Jiri Rosicky xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx alternative e-mail address (in case reply key does not work): J.Adamek@tu-bs.de xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx [For admin and other information see: http://www.mta.ca/~cat-dist/ ]