Name
Abstract | ||
|---|---|---|
The strong inclusion, a specific type of subrelation of the order of a lattice with pseudocomplements, has been used in the concrete case of the lattice of open sets in topology for an expedient definition of proximity, and allowed for a natural pointfree extension of this concept. A modification of a strong inclusion for biframes then provided a pointfree model also for the non-symmetric variant. In this paper we show that a strong inclusion can be non-symmetrically modified to work directly on frames, without prior assumption of a biframe structure. The category of quasi-proximal frames thus obtained is shown to be concretely isomorphic with the biframe based one, and shown to be related to that of quasi-uniform frames in a full analogy with the symmetric case. |
Year | DOI | Venue |
|---|---|---|
2012 | 10.1007/s11083-011-9218-0 | Order |
Keywords | Field | DocType |
Frame,Biframe,Pseudocomplement,Strong inclusion,Paircover,Quasi-uniform frame,Quasi-proximal frame,Total boundedness,06D22,06D15,54E05,54E15,54E55 | Discrete mathematics,Lattice (order),Pseudocomplement,Isomorphism,Analogy,Mathematics,Open set | Journal |
Volume | Issue | ISSN |
29 | 3 | 0167-8094 |
Citations | PageRank | References |
2 | 0.72 | 1 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Jorge Picado | 1 | 20 | 10.18 |
| Ales Pultr | 2 | 72 | 24.12 |