
Equivalents of the (Weak) Fan Theorem
... Suppose γ is a bar. Define Γ := {X|∃a ∈ {0, 1}∗[γ(a) = 1 ∧ X = ...
... Suppose γ is a bar. Define Γ := {X|∃a ∈ {0, 1}∗[γ(a) = 1 ∧ X = ...
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... Recall that functions such as f(x) = x1/2 and f(x) = log x are not continuous on all real numbers, nevertheless, they are continuous at every number in their domains. For example, the domain of f(x) = x1/2 is [0, ) and its interval of continuity is also [0, ). Similarly, the domain of f(x) = log x ...
... Recall that functions such as f(x) = x1/2 and f(x) = log x are not continuous on all real numbers, nevertheless, they are continuous at every number in their domains. For example, the domain of f(x) = x1/2 is [0, ) and its interval of continuity is also [0, ). Similarly, the domain of f(x) = log x ...