Profinite Heyting algebras
... ↓U is clopen for every clopen U ⊆ X Let Upτ (X) denote the Heyting algebra of clopen upsets of X, where U → V = X− ↓(U − V ). Theorem (Esakia 1974). For every Heyting algebra A, there exists an Esakia space (X, ≤) such that A is isomorphic to Upτ (X). ...
... ↓U is clopen for every clopen U ⊆ X Let Upτ (X) denote the Heyting algebra of clopen upsets of X, where U → V = X− ↓(U − V ). Theorem (Esakia 1974). For every Heyting algebra A, there exists an Esakia space (X, ≤) such that A is isomorphic to Upτ (X). ...
Chapter 2: Sequences and Series
... Next we would like to have one or more conditions under which we may extend the Taylor polynomial to an infinite power series called a Taylor Series. When this is possible we may apply the ratio test to determine the radius of convergence and the interval of convergence. That is we would like to kno ...
... Next we would like to have one or more conditions under which we may extend the Taylor polynomial to an infinite power series called a Taylor Series. When this is possible we may apply the ratio test to determine the radius of convergence and the interval of convergence. That is we would like to kno ...
