On a topological Ramsey Theorem
Abstract
We introduce natural strengthenings of sequential compactness called the r-Ramsey property for each natural number r≥ 1. We prove that metrizable compact spaces are r-Ramsey for all r and give examples of compact spaces that are r-Ramsey but not r+1-Ramsey for each r≥ 1 (assuming CH for all r>1
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.