Banach spaces from barriers in high dimensional Ellentuck spaces
نویسندگان
چکیده
منابع مشابه
Infinite Dimensional Ellentuck Spaces and Ramsey-classification Theorems
We extend the hierarchy of finite-dimensional Ellentuck spaces to infinite dimensions. Using uniform barriers B on ω as the prototype structures, we construct a class of continuum many topological Ramsey spaces EB which are Ellentuck-like in nature, and form a linearly ordered hierarchy under projection. We prove new Ramseyclassification theorems for equivalence relations on fronts, and hence a...
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ژورنال
عنوان ژورنال: Journal of Logic and Analysis
سال: 2018
ISSN: 1759-9008
DOI: 10.4115/jla.2018.10.5