@article{14557,
  abstract     = {Motivated by a problem posed in [10], we investigate the closure operators of the category SLatt of join semilattices and its subcategory SLattO of join semilattices with bottom element. In particular, we show that there are only finitely many closure operators of both categories, and provide a complete classification. We use this result to deduce the known fact that epimorphisms of SLatt and SLattO are surjective. We complement the paper with two different proofs of this result using either generators or Isbell’s zigzag theorem.},
  author       = {Dikranjan, D. and Giordano Bruno, A. and Zava, Nicolò},
  issn         = {1727-933X},
  journal      = {Quaestiones Mathematicae},
  number       = {S1},
  pages        = {191--221},
  publisher    = {Taylor & Francis},
  title        = {{Epimorphisms and closure operators of categories of semilattices}},
  doi          = {10.2989/16073606.2023.2247731},
  volume       = {46},
  year         = {2023},
}

@article{12764,
  abstract     = {We study a new discretization of the Gaussian curvature for polyhedral surfaces. This discrete Gaussian curvature is defined on each conical singularity of a polyhedral surface as the quotient of the angle defect and the area of the Voronoi cell corresponding to the singularity. We divide polyhedral surfaces into discrete conformal classes using a generalization of discrete conformal equivalence pioneered by Feng Luo. We subsequently show that, in every discrete conformal class, there exists a polyhedral surface with constant discrete Gaussian curvature. We also provide explicit examples to demonstrate that this surface is in general not unique.},
  author       = {Kourimska, Hana},
  issn         = {1432-0444},
  journal      = {Discrete and Computational Geometry},
  pages        = {123--153},
  publisher    = {Springer Nature},
  title        = {{Discrete yamabe problem for polyhedral surfaces}},
  doi          = {10.1007/s00454-023-00484-2},
  volume       = {70},
  year         = {2023},
}