A non-archimedean Dugundji extension theorem

Jerzy Kąkol; Albert Kubzdela; Wiesƚaw Śliwa

Displaying similar documents to “A non-archimedean Dugundji extension theorem”

Properties of one-point completions of a noncompact metrizable space

Melvin Henriksen, Ludvík Janoš, Grant R. Woods (2005)

Commentationes Mathematicae Universitatis Carolinae

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If a metrizable space $X$ is dense in a metrizable space $Y$ , then $Y$ is called a of $X$ . If $T_{1}$ and $T_{2}$ are metric extensions of $X$ and there is a continuous map of $T_{2}$ into $T_{1}$ keeping $X$ pointwise fixed, we write $T_{1} \leq T_{2}$ . If $X$ is noncompact and metrizable, then $(ℳ (X), \leq)$ denotes the set of metric extensions of $X$ , where $T_{1}$ and $T_{2}$ are identified if $T_{1} \leq T_{2}$ and $T_{2} \leq T_{1}$ , i.e., if there is a homeomorphism of $T_{1}$ onto $T_{2}$ keeping $X$ pointwise fixed. $(ℳ (X), \leq)$ is a large complicated poset studied extensively by V. Bel’nov [, Trans. Moscow Math....

Local/global uniform approximation of real-valued continuous functions

Anthony W. Hager (2011)

Commentationes Mathematicae Universitatis Carolinae

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For a Tychonoff space $X$ , $C (X)$ is the lattice-ordered group ( $l$ -group) of real-valued continuous functions on $X$ , and $C^{*} (X)$ is the sub- $l$ -group of bounded functions. A property that $X$ might have is (AP) whenever $G$ is a divisible sub- $l$ -group of $C^{*} (X)$ , containing the constant function 1, and separating points from closed sets in $X$ , then any function in $C (X)$ can be approximated uniformly over $X$ by functions which are locally in $G$ . The vector lattice version of the Stone-Weierstrass Theorem is more-or-less...

Algebras of continuous functions over $P$ -spaces

Nicola Rodinò (1983)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti

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Nella prima parte della nota sono studiate le proprietà di connessione dei sottospazi dello spettro di un anello. Con l’ausilio dei risultati ottenuti, si stabiliscono le condizioni necessarie e sufficienti affinchè un’algebra reale assolutamente piatta sia isomorfa ad un’algebra di funzioni continue a valori reali su un $P$ -spazio, del quale determini la topologia. Ulteriori condizioni sono necessarie e sufficienti affinché un’algebra reale assolutamente piatta sia isomorfa all’algebra...

Algebras of continuous functions over $P$ -spaces

Nicola Rodinò (1983)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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Non-Archimedean K-spaces

Albert Kubzdela (2005)

Banach Center Publications

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We study Banach spaces over a non-spherically complete non-Archimedean valued field K. We prove that a non-Archimedean Banach space over K which contains a linearly homeomorphic copy of $l^{\infty}$ (hence $l^{\infty}$ itself) is not a K-space. We discuss the three-space problem for a few properties of non-Archimedean Banach spaces.

$C^{\infty}$ -antiderivatives of $p$ -adic $C^{\infty}$ -functions

Wilhelm H. Schikhof (1981-1982)

Groupe de travail d'analyse ultramétrique

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Displaying similar documents to “A non-archimedean Dugundji extension theorem”

Properties of one-point completions of a noncompact metrizable space

Local/global uniform approximation of real-valued continuous functions

Algebras of continuous functions over P -spaces

Algebras of continuous functions over P -spaces

Non-Archimedean K-spaces

C ∞ -antiderivatives of p -adic C ∞ -functions

Algebras of continuous functions over $P$ -spaces

Algebras of continuous functions over $P$ -spaces

$C^{\infty}$ -antiderivatives of $p$ -adic $C^{\infty}$ -functions