Several facts from general topology
Alexander B. Kharazishvili · Atlantis studies in mathematics · 2009
It is well known that close relationships between real analysis and general topology are very useful and fruitful for both of these mathematical disciplines. For instance, deep analogies between the Lebesguemeasure and Baire category on R were extensively studied and underlined many times in the literature (see, e.g., [40], [148], [176], and [192]). In this chapter, we would like to discuss some topological facts and statements which play an auxiliary role in our further considerations. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.