Abstract
It has become apparent that our intuitive notions of space and time are inadequate for developing a theory of quantum gravity. It is perhaps worthwhile to understand where our macroscopically-developed spatial instinct is implicit in the concept of manifold, and to consider alternative methods for defining (vis-a-vis explicating) space and time. A simple example for generating atopos over a fundamental set is provided to illustrate the potential basis of such a definition.
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Stuckey, W.M. Defining spacetime. Astrophys Space Sci 244, 371–374 (1996). https://doi.org/10.1007/BF00642307
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DOI: https://doi.org/10.1007/BF00642307