An interesting class of ideals in subalgebras of $C(X)$ containing $C^*(X)$

Sudip Kumar Acharyya; Dibyendu De

Displaying similar documents to “An interesting class of ideals in subalgebras of $C (X)$ containing $C^{*} (X)$ ”

Dimension in algebraic frames, II: Applications to frames of ideals in $C (X)$

Jorge Martinez, Eric R. Zenk (2005)

Commentationes Mathematicae Universitatis Carolinae

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This paper continues the investigation into Krull-style dimensions in algebraic frames. Let $L$ be an algebraic frame. $dim (L)$ is the supremum of the lengths $k$ of sequences $p_{0} < p_{1} < \dots < p_{k}$ of (proper) prime elements of $L$ . Recently, Th. Coquand, H. Lombardi and M.-F. Roy have formulated a characterization which describes the dimension of $L$ in terms of the dimensions of certain boundary quotients of $L$ . This paper gives a purely frame-theoretic proof of this result, at once generalizing it to frames which are...

On the complexity of some $σ$ -ideals of $σ$ -P-porous sets

Luděk Zajíček, Miroslav Zelený (2003)

Commentationes Mathematicae Universitatis Carolinae

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Let $𝐏$ be a porosity-like relation on a separable locally compact metric space $E$ . We show that the $σ$ -ideal of compact $σ$ - $𝐏$ -porous subsets of $E$ (under some general conditions on $𝐏$ and $E$ ) forms a $Π_{1}^{1}$ -complete set in the hyperspace of all compact subsets of $E$ , in particular it is coanalytic and non-Borel. Our general results are applicable to most interesting types of porosity. It is shown in the cases of the $σ$ -ideals of $σ$ -porous sets, $σ$ - $〈 g 〉$ -porous sets, $σ$ -strongly porous sets, $σ$ -symmetrically...

Positive solutions for systems of generalized three-point nonlinear boundary value problems

Johnny Henderson, Sotiris K. Ntouyas, Ioannis K. Purnaras (2008)

Commentationes Mathematicae Universitatis Carolinae

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Values of $λ$ are determined for which there exist positive solutions of the system of three-point boundary value problems, $u^{''} + λ a (t) f (v) = 0$ , $v^{''} + λ b (t) g (u) = 0$ , for $0 < t < 1$ , and satisfying, $u (0) = β u (η)$ , $u (1) = α u (η)$ , $v (0) = β v (η)$ , $v (1) = α v (η)$ . A Guo-Krasnosel’skii fixed point theorem is applied.

Displaying similar documents to “An interesting class of ideals in subalgebras of C ( X ) containing C * ( X ) ”

Dimension in algebraic frames, II: Applications to frames of ideals in C ( X )

On the complexity of some σ -ideals of σ -P-porous sets

Positive solutions for systems of generalized three-point nonlinear boundary value problems

Displaying similar documents to “An interesting class of ideals in subalgebras of $C (X)$ containing $C^{*} (X)$ ”

Dimension in algebraic frames, II: Applications to frames of ideals in $C (X)$

On the complexity of some $σ$ -ideals of $σ$ -P-porous sets