Parametrizing by the Ellentuck space
A new method is introduced to parametrize topological Ramsey spaces by the Ellentuck space. To demonstrate the strength of these parametrized Ramsey spaces over the Ellentuck space, we give some new proofs of known parametrized perfect set theorems. We generalize our methods by identifying conditions that allow for parametrizations by spaces other then the Ellentuck space. We conclude with some open questions concerning the canonical Ramsey theory of these spaces.