Sierpinski object for affine systems. (English) Zbl 1372.54007
Autors’ abstract: Motivated by the concept of Sierpinski object for topological systems of S. Vickers [Topology via logic. Cambridge etc.: Cambridge University Press (1989; Zbl 0668.54001)], presented recently by R. Noor and A. K. Srivastava [“On topological systems”, Soft Comput. 20, No. 12, 4773–4778 (2016; doi:10.1007/s00500-015-2027-4)], this paper introduces the Sierpinski object for many-valued topological systems and shows that it has three important properties of the crisp Sierpinski space of general topology.
Reviewer: Salvatore Sessa (Napoli)
MSC:
| 54A40 | Fuzzy topology |
| 18B30 | Categories of topological spaces and continuous mappings (MSC2010) |
Keywords:
affine set; coreflective subcategory; free object; injective object; quantale; Sierpinski object; Sierpinski topological space; sober monomorphism; sober system; topological system; variety of algebrasCitations:
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