2016
DOI: 10.1016/j.topol.2015.12.038
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Inverse systems and inverse limits in the category of plain textures

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Cited by 2 publications
(14 citation statements)
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“…In fact, it says that {g α • h α } becomes an inverse system of mappings by [17,Definition 3.9]. Therefore, now we can look at the commutativity of diagram.…”
Section: F Yıldızmentioning
confidence: 99%
See 3 more Smart Citations
“…In fact, it says that {g α • h α } becomes an inverse system of mappings by [17,Definition 3.9]. Therefore, now we can look at the commutativity of diagram.…”
Section: F Yıldızmentioning
confidence: 99%
“…Recently, it is seen in [17,18] that the another method used to construct a new ditopological space is the theory of ditopological inverse systems and their limit spaces under the name ditopological inverse limits as the subspaces of ditopological product spaces described in [3,4,18].…”
Section: Introductionmentioning
confidence: 99%
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“…Incidentally, inverse limits always exist in the categories Set, Top, Grp and Rng. Note also that inverse limits are generally restricted to diagrams over directed sets.Similarly, a suitable theory of inverse systems and inverse limits for the categories consisting of textures and ditopological spaces is handled first-time in [17] and [18].Incidentally, let 's recall the notions of texture and ditopology introduced in 1993, by Lawrence M. Brown : For a nonempty set S, the family S ⊆ P(S) is called a texturing on S if (S, ⊆) is a point-separating, complete, completely distributive lattice containing S and ∅, with meet coinciding with intersection and finite joins with union. The pair (S, S) is then called a texture.…”
mentioning
confidence: 99%