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9 papers
Extension of Functions with Small Oscillation
Denny H. Leung, Wee-Kee Tang
A classical theorem of Kuratowski says that every Baire one function on a G_δsubspace of a Polish (= separable completely metrizable) space X can be extended to a Baire one functio…
\ell^1-spreading models in subspaces of mixed Tsirelson spaces
Denny H. Leung, Wee-Kee Tang
We investigate the existence of higher order \ell^1-spreading models in subspaces of mixed Tsirelson spaces. For instance, we show that the following conditions are equivalent for…
\ell ^1-spreading models in mixed Tsirelson space
Denny H. Leung, Wee-Kee Tang
Suppose that (F_n)_{n=1}^{\infty} is a sequence of regular families of finite subsets of N and (θ_n)_{n=1}^{\infty} is a nonincreasing null sequence in (0,1). The mixed Tsirelson s…
The Bourgain ell ^1-index of mixed Tsirelson space
Denny H. Leung, Wee-Kee Tang
Suppose that (F_n)_{n=0}^{\infty} is a sequence of regular families of finite subsets of N such that F_0 contains all singletons, and (θ_n)_{n=1}^{\infty} is a nonincreasing null s…
The -index of Tsirelson type spaces
Denny H. Leung, Wee-Kee Tang
If αand βare countable ordinals such that β\neq 0, denote by \tilde{T}_{α,β} the completion of with respect to the implicitly defined norm ||x|| = max{||x||_{c_{0}}, 1/2 s…
Functions of Baire class one
Denny H. Leung, Wee-Kee Tang
Let be a compact metric space. A real-valued function on is said to be of Baire class one (Baire-1) if it is the pointwise limit of a sequence of continuous functions. In t…