Is there a thing as a "Negative Dimensional Space"?

I am wondering if there is a pure mathematical, abstract, extension of the Euclidean space for negative dimensions. Do you know any studies in topology, regarding this matter?

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I did a little research and I couldn’t find much but an incomplete wikipedia article (and a few blogs studying this subject from physics perspective) stating the following:

By the 1940s, the science of topology had developed and studied a thorough basic theory of topological spaces of positive dimension. Motivated by computations, and to some extent aesthetics, topologists searched for mathematical frameworks that extended our notion of space to allow for negative dimensions. Such dimensions, as well as the fourth and higher dimensions, are hard to imagine since we are not able to directly observe them. It wasn’t until the 1960s that a special topological framework was constructed—the category of spectra.

$quadquad$— Luke Wolcott, "Imagining Negative-Dimensional Space", Proceedings of Bridges 2012: Mathematics, Music, Art, Architecture, Culture (2012)

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