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The phrase "a subset of a space" is correct and usable in written English.
It can be used in mathematical or scientific contexts to describe a smaller set contained within a larger set or space.
Example: "In topology, a subset of a space can have different properties than the space itself, leading to interesting discussions about continuity and convergence."
Alternatives: "a portion of a space" or "a segment of a space".
Exact(1)
This viable space is a subset of a space of biochemical parameters, where a model maintains a desirable behavior.
Similar(59)
If is a closed subset of a Banach space, is a subset of a Banach space, in is a uniform contraction on, and is continuous in for each fixed in, then the unique fixed point of in, is continuous in.
Suppose that is a subset of a Banach space is a subset of a Banach space, and is a family of operators taking.
[6, p. 6] Suppose F is a subset of a Banach space ( X, | ⋅ | ), G is a subset of a Banach space Y, and { T y, y ∈ G } is a family of operators taking F → X.
A subset of a Polish space is called analytic if it is the image of a Borel subset of another Polish space under a Borel-measurable mapping.
Let M be a subset of a norm space X.
Let Ω be a subset of a Banach space X.
Let M be a subset of a normed space (X, ||·||).
Let be a subset of a Banach space.
Let K be a subset of a Banach space X.
Let D be a subset of a geodesic space ( E, d ).
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com