Mathematics
2 years ago

Proximity and Brouwer dimensions align, reshaping understanding of compact spaces.

arXiv (Cornell University)
Proximity inductive dimension and Brouwer dimension agree on compact Hausdorff spaces
Jeremy Siegert

Paper Summary

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The proximity inductive dimension and Brouwer dimension are shown to be the same for compact Hausdorff spaces. This means that a specific example of a compact space has a dimension that is higher than another type of dimension.