Hausdorff

Further, the solution space moduli space is non-Hausdorff, which makes things complicated.

Could a Black Hole Fit in Your Computer or In Your Pocket? | Universe Today 2009

(Lindenbaum-Tarski algebras and model theory), set theory (fields of sets), topology (totally disconnected compact Hausdorff spaces), foundations of set theory (Boolean-valued models), measure theory

The Mathematics of Boolean Algebra Monk, J. Donald 2009

Pure math research into the Hausdorff metric geometry proved no two sets have exactly 19 elements in any given location between them.

College Academic All-Stars: Third Team 2007

The foundational nature of renormalization is encoded in the renormalization group equation, Wilson and Polchinski, which has a fluid mechanics analogue and describes a Hausdorff dimension for the scalability of the theory.

Dark Matter: Still Dark. Julianne 2008

As for fractals, there is a Hausdorff dimension with the renormalization group of running parameters.

Dark Matter: Still Dark. Julianne 2008

Interestingly the moduli space for general relativity, due to the hyperbolic nature of the connection one-forms, is non-Hausdorff.

Does Space Expand? Sean 2008

Building on the work of Hausdorff, Banach and Tarski derive from

The Axiom of Choice Bell, John L. 2008

In one direction, an arbitrary Boolean algebra yields a topological space, and in the other direction, from a (compact Hausdorff and totally disconnected) topological space, one obtains a Boolean algebra.

Category Theory Marquis, Jean-Pierre 2007

Hausdorff paradox: There exists a countable subset C of the sphere S such that SC is equidecomposable with two copies of itself.

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There he came across the idea of the Hausdorff-Besicovitch dimension - the revelation that there were phenomena that existed outside one-dimensional space, but in somewhat less than two dimensions.

The Guardian World News 2010