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Let $F\subset C^{\ast}(X)$ be a vector sublattice over $\mathbb{R}$ which separates points from closed sets of $X$ . The compactification $e_{F}X$ obtained by embedding $X$ in a real cube via the diagonal map, is different, in general, from the Wallman compactification $\omega(Z(F))$ . In this paper, it is shown that there exists a lattice $F_{z}$ containing $F$ such that $\omega(Z(F))=\omega(Z(F_{z}))=e_{F}X$ . In particular this implies that $\omega(Z(F))\geq e_{F}X$ . Conditions in order to be $\omega(Z(F))=e_{F}X$ are given. Finally we prove that, if $\alpha X$ is a compactification of $X$ such that $Cl_{\alpha X}(\alpha X\setminus X)$ is $0$ -dimensional, then there is an algebra $A\subset C^{ast}(X)$ such...

Wandering Sets for a Class of Borel Isomorphisms of ...0,1).

Edward A. Azoff, Eugen J. Ionascu (2000)

The journal of Fourier analysis and applications [[Elektronische Ressource]]

Waraszkiewicz spirals revisited

Pavel Pyrih, Benjamin Vejnar (2012)

Fundamenta Mathematicae

We study compactifications of a ray with remainder a simple closed curve. We give necessary and sufficient conditions for the existence of a bijective (resp. surjective) mapping between two such continua. Using those conditions we present a simple proof of the existence of an uncountable family of plane continua no one of which can be continuously mapped onto any other (the first such family, so called Waraszkiewicz's spirals, was created by Z. Waraszkiewicz in the 1930's).

Warped compact foliations

Szymon M. Walczak (2008)

Annales Polonici Mathematici

The notion of the Hausdorffized leaf space $\tilde{}$ of a foliation is introduced. A sufficient condition for warped compact foliations to converge to $\tilde{}$ is given. Moreover, a necessary condition for warped compact Hausdorff foliations to converge to $\tilde{}$ is shown. Finally, some examples are examined.

Wavelets and the complete invariance property

Rajeshwari Dubey, Aparna Vyas (2010)

Matematički Vesnik

Weak and Semi Compatible Maps in Probabilistic Metric Space Using Implicit Relation

Dhagat, Vanita Ben, Sharma, Akshay (2008)

Serdica Mathematical Journal

2000 Mathematics Subject Classification: 54H25, 47H10.The concept of semi compatibility is given in probabilistic metric space and it has been applied to prove the existence of unique common fixed point of four self-maps with weak compatibility satisfying an implicit relation. At the end we provide examples in support of the result.Authors thank to MPCOST, Bhopal for financial support through the project M-19/2006.

Weak and strong convergence of finite family with errors of nonexpansive nonself-mappings.

Plubtieng, S., Ungchittrakool, K. (2006)

Fixed Point Theory and Applications [electronic only]

Weak and strong forms of irresolute maps.

Caldas Cueva, Miguel (2000)

International Journal of Mathematics and Mathematical Sciences

Weak calibers and the Scott-Watson theorem

Alessandro Fedeli (1996)

Czechoslovak Mathematical Journal

Weak Compactness and Tightness of Subsets of M(X).

J. Hoffmann-Jorgensen (1972)

Mathematica Scandinavica

Weak compactness implies strong compactness in the space of uniform measures

Schachermayer, Walter (1979)

Abstracta. 7th Winter School on Abstract Analysis

Weak Compatibility and Common Fixed Point Theorems for A-Contractive and E-expansive Maps in Uniform Spaces

Aamri, M., El Moutawakil, D. (2005)

Serdica Mathematical Journal

2000 Mathematics Subject Classification: 47H10, 54E15.The purpose of this paper is to define the notion of A-distance and E-distance in uniform spaces and give several new common fixed point results for weakly compatible contractive or expansive selfmappings of uniform spaces.

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$W θ g$ -closed and $W δ g$ -closed in $[0, 1]$ -topological spaces.

Wallman compactification and zero-dimensionality.

Wallman covers of compact spaces [Book]

Wallman extendible functions with normal domains

Wallman's method

Wallman-type compaerifications and function lattices