Prefer a chat interface with context about you and your work?
A notion of selective ultrafilter corresponding to topological Ramsey spaces
Abstract We introduce the relation of almost‐reduction in an arbitrary topological Ramsey space ℛ as a generalization of the relation of almost‐inclusion on ℕ [∞] . This leads us to a type of ultrafilter 𝒰 ⊆ ℛ which corresponds to the well‐known notion of selective ultrafilter on ℕ. The relationship …