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A new method for the construction of the Wallman compactification and applications. (Une nouvelle méthode de construction du compactifié de Wallman et applications.) (French) Zbl 0815.54018
Summary: We construct the Wallman compactification by a new approach which requires fewer hypotheses than the classical construction. We are thus able to generalize important results about this compactification and we develop applications to topology and functional analysis and prove a new integral representation theorem for positive linear functionals.

MSC:
54D35 Extensions of spaces (compactifications, supercompactifications, completions, etc.)
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