Abstract | ||
---|---|---|
In this paper we establish a general duality theorem for compact Hausdorff spaces being recognizable over certain pairs consisting of a commutative unital topological semiring and a closed proper prime ideal. Indeed, we utilize the concept of blueprints and their localization to prove that the category of compact Hausdorff spaces generated by such a pair can be dually embedded into the category of commutative unital semirings if the pair possesses sufficiently many covering polynomials. |
Year | DOI | Venue |
---|---|---|
2016 | 10.1007/s10485-015-9398-7 | Applied Categorical Structures |
Keywords | Field | DocType |
Duality,Topological semiring,Blueprint,Spectrum | Topology,Discrete mathematics,Combinatorics,Commutative property,Category of topological spaces,Polynomial,Duality (mathematics),Duality (optimization),Hausdorff space,Prime ideal,Mathematics,Semiring | Journal |
Volume | Issue | ISSN |
24 | 4 | 0927-2852 |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Sebastian Kerkhoff | 1 | 22 | 5.93 |
Friedrich Martin Schneider | 2 | 7 | 4.23 |