Article Review:  Survey about Generalizing Distances

Shaimaa S.  Al-Bundi

doi:10.24297/jam.v21i.9170

Authors

Shaimaa S. Al-Bundi Department of mathematics, College of Education for Pure science Ibn Haitham, university of Baghdad

DOI:

https://doi.org/10.24297/jam.v21i.9170

Keywords:

Generalizing Distances, set theory, descriptive set theory, measure theory, functional analysis, metric space

Abstract

As known, in general topology the talking be about “nearness”. This is exactly needed to discuss subjects such convergence and continuity. The simple way to study about nearness is to correspond the set with a distance function to inform us how far apart two elements of are. The metric concept introduced by a French mathematician Maurice René Fréchet (1878 – 1973) in 1906 in his work on some points of the functional calculus. However, the name is due to a German mathematician Felix Hausdorff (1868 –1942) who is considered to be one of the founders of modern topology. In addition to these contribution, he contributed significantly to set theory, descriptive set theory, measure theory, and functional analysis.

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