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(see, [2]) Let X be a continuum space and let A ⊂ X.
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Let X be a continuum and acyclic space and let Y be a metric space.
Let X be a continuum and acyclic space and let Y be a metric and non-acyclic space.
The powder phase in the model was assumed to be a continuum, as the spacing between particles in this state is much smaller than the typical length scale of flow.
One might think that (i) all material objects must always be topologically open and gunky, that (ii) any part of a material object must itself be a material object, and that (iii) space or spacetime is a continuum of simple points, each plurality of which composes a region.
For the purposes of this paper, a continuum is a connected space that is also compact; a subcontinuum of a space is a subset which is a continuum in its subspace topology.
Time was a continuum.
Music is a continuum.
It's a continuum.
There's a continuum.
But poverty is a continuum.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com