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The phrase "a total space of" is correct and usable in written English.
It can be used in mathematical or scientific contexts, particularly in discussions about topology or geometry.
Example: "In topology, we often refer to a total space of a fiber bundle to describe the entire structure."
Alternatives: "an entire space of" or "a complete space of".
Exact(2)
They were working with a total space of 290 square feet, about an eighth the size of a respectable loft.
Inclusion of large tag sequences (such as fluorescent tag cassette, which is ∼0.8 kb in size) into rAAV vector, will leave a total space of only 2 kb for two HAs, translating to 1 kb per arm.
Similar(57)
DRM was performed with an equimolar reactant feed of 20 mL/min of each of the reactant gases to give a total space velocity of 48,000 mL/gcat/h.
An efficient approach would use a bit representation of the at most n items of each solution which yields a total space requirement of O (n + Γ c log n ).
Let M be a complex manifold with boundary, satisfying a subelliptic estimate, which is also the total space of a principal G-bundle with G a Lie group and compact orbit space ¯¯¯¯M/G.
Let G be a unimodular Lie group, X a compact manifold with boundary, and M the total space of a principal bundle G → M → X so that M is also a strongly pseudoconvex complex manifold.
However, it is not an easy task to determine the time limit which should be used to produce a good sampling of the total space of traces which sort a given permutation.
Regard the complex symplectic group (mathrm {Sp}) as the total space of an (mathrm {Sp}_mathbb {R} -principal bundle (pi :, mathrm {R} -principalw pi (mathrm {Sp})), (g mapsto g sigma (g^{-1})).
Now that we have it, we may regard (mathrm {H}(W^s)) as the total space of an (mathrm {Sp}_mathbb {R} -principal bundle (pi :, mathrm {R} -principalarrow M).
The experimental cooler, with a total storage space of 0.014 m3, consists of a cuboid shaped porous clay container located inside another clay container.
Altogether, 14 major buildings were constructed with a total floor space of at a cost of $25.5 million.
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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