Here is the list of posts on filters so far:
- Filters, part I
- Filters, part II: Filter spaces
- Filters, part III: Correcting a mistake, and pretopologies
- Filters, part IV: Compactifications
- Filters, part V: Wallman compactifications
- Filter spaces and equilogical spaces
- Dcpos and convergence spaces I: Scott and Heckmann convergences
- Dcpos and convergence spaces II: Preserving products
- Convergence without points
- Algebras of filter-related monads: I. Ultrafilters and Manes’ theorem
- Algebras of filter-related monads: II. KZ-monads
- Weakly Hausdorff spaces, and locally strongly sober spaces