Covering games using semi-open sets
Abstract
In this paper, we prove the following Theorems 1. An extremally disconnected space X has the semi-Menger property if and only if One does not have a winning strategy in the game Gfin(sO,sO). 2. An extremally disconnected space X has the semi-Rothberger property if and only if One does not have a winning strategy in the game G1(sO,sO).
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.