All Stories

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