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Topologies and Measures

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Mathematical Tools for Data Mining

Part of the book series: Advanced Information and Knowledge Processing ((AI&KP))

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Abstract

Topology is an area of mathematics that investigates both the local and the global structure of space

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References

  1. J.B. Listing, Vorstudien zur Topologie (Vanderhoek and Ruprecht, Göttingen, 1848)

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  8. R. Engelking, K. Siekluchi, Topology—A Geometric Approach (Heldermann Verlag, Berlin, 1992)

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  9. B.-U. Pagel, F. Korn, C. Faloutsos, Deflating the dimensionality curse using multiple fractal dimensions. Paper presented in international conference on data, engineering, pp. 589–598, 2000

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  10. F. Korn, B.-U. Pagel, C. Faloutsos, On the dimensionality curse and the self similarity blessing. IEEE Trans. Knowl. Data Eng. 13, 96–111 (2001)

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  11. M.E. Taylor, Measure Theory and Integration (American Mathematical Society, Providence, R.I., 2006)

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Correspondence to Dan A. Simovici .

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Simovici, D.A., Djeraba, C. (2014). Topologies and Measures. In: Mathematical Tools for Data Mining. Advanced Information and Knowledge Processing. Springer, London. https://doi.org/10.1007/978-1-4471-6407-4_4

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  • DOI: https://doi.org/10.1007/978-1-4471-6407-4_4

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  • Publisher Name: Springer, London

  • Print ISBN: 978-1-4471-6406-7

  • Online ISBN: 978-1-4471-6407-4

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