The Universe is a physical object. Physical objects have shapes
and sizes. So, a major goal of observational cosmology is to
measure the shape and size of the Universe (within appropriate
mathematical theory relating to geometry), or else to convincingly
show that these are unmeasurable. The alternative, to suppose that
the Universe is a spiritual object, without a shape or size, is not
part of the domain of science.
Boudewijn F. Roukema, astro-ph/0201092, 2002,
Observational Constraints on the Topology
(Global Geometry) of the Universe,
http://arxiv.org/abs/astro-ph/0201092
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