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Spaces in mathematics

2018
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WikiJournal of Science
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While modern mathematics use many types of spaces, such as Euclidean spaces, linear spaces, topological spaces, Hilbert spaces, or probability spaces, it does not define the notion of "space" itself. [1][details 1] A space consists of selected mathematical objects that are treated as points, and selected relationships between these points. The nature of the points can vary widely: for example, the points can be elements of a set, functions on another space, or subspaces of another space. It is

doi:10.15347/wjs/2018.002
fatcat:azjykkza4ffmrbson6jnsso7nm