92 citations · 192 across the 19 of their papers we have counts for
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Presenting the Sierpinski Gasket in Various Categories of Metric Spaces
Jayampathy Ratnayake, Annanthakrishna Manokaran, Romaine Jayewardene +2
This paper studies presentations of the Sierpinski gasket as a final coalgebra for functors on several categories of metric spaces with additional designated points. The three cate…
The Sierpinski Carpet as a Final Coalgebra
Victoria Noquez, Lawrence S. Moss
We advance the program of connections between final coalgebras as sources of circularity in mathematics and fractal sets of real numbers. In particular, we are interested in the Si…
An Initial Algebra Theorem Without Iteration
Jiří Adámek, Stefan Milius, Lawrence S. Moss
The Initial Algebra Theorem by Trnková et al.~states, under mild assumptions, that an endofunctor has an initial algebra provided it has a pre-fixed point. The proof crucially depe…