Mathematical Sciences Classification System
54Exx - Spaces with richer structures
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54E05Proximity structures and generalizations
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54E15Uniform structures and generalizations
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54E17Nearness spaces
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54E18$p$-spaces, $M$-spaces, $\sigma$-spaces, etc.
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54E20Stratifiable spaces, cosmic spaces, etc.
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54E25Semimetric spaces
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54E30Moore spaces
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54E35Metric spaces, metrizability
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54E40Special maps on metric spaces
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54E45Compact (locally compact) metric spaces
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54E50Complete metric spaces
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54E52Baire category, Baire spaces
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54E55Bitopologies
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54E70Probabilistic metric spaces
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54E99None of the above, but in this section