2016/1
http://hdl.handle.net/11012/63081
Tue, 22 Jan 2019 16:55:31 GMT2019-01-22T16:55:31ZA remark on extremally μ-disconnected generalized topological spaces
http://hdl.handle.net/11012/63103
A remark on extremally μ-disconnected generalized topological spaces
Tyagi, B. K.; Chauhan, H. V. S.
A more general de nition of extremally u-disconnected generalized topological space [3] is introduced and its properties are studied. We have further improved the de nitions of generalized open sets [1] and upper(lower) semi-continuous functions de ned for a generalized topological space in [5]. In this generalized framework we obtain the analogues of results in [1, 3, 5]. Examples of extremally u -disconnected generalized topological spaces are given.
Fri, 01 Jan 2016 00:00:00 GMThttp://hdl.handle.net/11012/631032016-01-01T00:00:00ZOn lax-algebraic (co)nuclei
http://hdl.handle.net/11012/63102
On lax-algebraic (co)nuclei
Solovyov, S. A.
Quantic (co)nuclei provide a convenient technique for constructing quotients and subquantales of quantales. This paper shows its analogue for the laxalgebraic approach to topology of M. M. Clementino, D. Hofmann, and W. Tholen, based in a monad and a unital quantale. As a result, we get a machinery for constructing quotient categories and subcategories, which provides, in particular, several of the already de ned ones by M. M. Clementino et al. We also get a representation theorem for the approach of M. M. Clementino et al.
Fri, 01 Jan 2016 00:00:00 GMThttp://hdl.handle.net/11012/631022016-01-01T00:00:00ZOn some basic constructions in categories of quantale-valued sup-lattices
http://hdl.handle.net/11012/63101
On some basic constructions in categories of quantale-valued sup-lattices
Šlesinger, R.
If the standard concepts of partial-order relation and subset are fuzzi ed, taking valuation in a unital commutative quantale Q, corresponding concepts of joins and join-preserving mappings can be introduced. We present constructions of limits, colimits and Hom-objects in categories Q-Sup of Q-valued fuzzy joinsemilattices, showing the analogy to the ordinary category Sup of join-semilattices.
Fri, 01 Jan 2016 00:00:00 GMThttp://hdl.handle.net/11012/631012016-01-01T00:00:00ZGeneralized Euler vector fields associated to the Weil bundles
http://hdl.handle.net/11012/63100
Generalized Euler vector fields associated to the Weil bundles
Kouotchop Wamba, P. M.
The notion of a Euler vector eld is usually de ned on the tangent bundle of a nite dimensional manifold M. In this paper, we generalize this notion to the Weil bundle TAM, for any Weil algebra A and we study some properties.
Fri, 01 Jan 2016 00:00:00 GMThttp://hdl.handle.net/11012/631002016-01-01T00:00:00Z