All Stories

  1. On Connected Subsets of a Convergence Space
  2. Concrete functors that respect initiality and finality
  3. Subobjects and Compactness in Point-Free Convergence
  4. When is a category of adherence-determined convergences simple?
  5. On points of convergence lattices and sobriety for convergence spaces
  6. Comparison of countability conditions within three fundamental classifications of convergences
  7. (Ultra-) completeness numbers and (pseudo-) paving numbers
  8. The convergence-theoretic approach to weakly first countable spaces and symmetrizable spaces
  9. Productively sequential spaces
  10. Distinguishing the Plane from the Punctured Plane Without Homotopy
  11. Measure of compactness for filters in product spaces: Kuratowski–Mròwka in CAP revisited
  12. Convergence Foundations of Topology
  13. Exponential Kleisli Monoids as Eilenberg–Moore Algebras
  14. Core compactness and diagonality in spaces of open sets
  15. Function Spaces and Contractive Extensions in Approach Theory: The Role of Regularity
  16. A Convergence-Theoretic Viewpoint on the Arzelà-Ascoli Theorem
  17. Group topologies coarser than the Isbell topology
  18. When is the Isbell topology a group topology?
  19. Phenotype spaces
  20. Beyond Topology
  21. Measure of compactness for filters in the approach setting
  22. Relations that preserve compact filters
  23. Finite products of filters that are compact relative to a class of filters
  24. Closure spaces and characterizations of filters in terms of their stone images
  25. Products of compact filters and applications to classical product theorems
  26. Function space topologies
  27. Compatible relations on filters and stability of local topological properties under supremum and product
  28. Differentiability as Continuity
  29. First-Countability, Sequentiality and Tightness of the Upper Kuratowski Convergence
  30. Hyperconvergences
  31. First-Countability, Sequentiality and Tightness of the Upper Kuratowski Convergence
  32. Espaces productivement de Fréchet
  33. Coreflectively modified continuous duality applied to classical product theorems
  34. Cascades and multifilters
  35. Convergence-theoretic mechanisms behind product theorems