What does quotient space (topology) mean?
Definitions for quotient space (topology)
quo·tient space (topol·o·gy)
This dictionary definitions page includes all the possible meanings, example usage and translations of the word quotient space (topology).
Wikipedia
Quotient space (topology)
In topology and related areas of mathematics, the quotient space of a topological space under a given equivalence relation is a new topological space constructed by endowing the quotient set of the original topological space with the quotient topology, that is, with the finest topology that makes continuous the canonical projection map (the function that maps points to their equivalence classes). In other words, a subset of a quotient space is open if and only if its preimage under the canonical projection map is open in the original topological space. Intuitively speaking, the points of each equivalence class are identified or "glued together" for forming a new topological space. For example, identifying the points of a sphere that belong to the same diameter produces the projective plane as a quotient space.
Numerology
Chaldean Numerology
The numerical value of quotient space (topology) in Chaldean Numerology is: 3
Pythagorean Numerology
The numerical value of quotient space (topology) in Pythagorean Numerology is: 2
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"quotient space (topology)." Definitions.net. STANDS4 LLC, 2024. Web. 29 Apr. 2024. <https://www.definitions.net/definition/quotient+space+%28topology%29>.
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