Geodesic
Completeness Theorem for Continuous Functions and Product Class-topologies
Publications de l'Institut Mathématique, _N_S_100 (2016) no. 114, p. 119

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We introduce an infinitary logic $L_{\mathbb{A}}(O^n,C^n)_{n\in\omega$ which is an extension of $L_{\mathbb A}$ obtained by adding new quantifiers $O^n$ and $C^n$, for every $n\in\omega$. The corresponding models are topological class-spaces. An axiomatization is given and the completeness theorem is proved.
DOI : 10.2298/PIM160525001D
Classification : 03C70 03C80, 03B80
Keywords: infinitary logic, topological class-spaces, completeness 
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     title = {Completeness {Theorem} for {Continuous} {Functions} and {Product} {Class-topologies}},
     journal = {Publications de l'Institut Math\'ematique},
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Radosav Djordjević; Vladimir Ristić; Nebojša Ikodinović. Completeness Theorem for Continuous Functions and Product Class-topologies. Publications de l'Institut Mathématique, _N_S_100 (2016) no. 114, p. 119 . doi: 10.2298/PIM160525001D

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