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CONDITIONS IMPLYING CONTINUITY OF MAPS
Baran, Mehmet,Kula, Muammer,Erciyes, Ayhan Korean Mathematical Society 2009 대한수학회지 Vol.46 No.4
In this paper, we generalize the notions of preserving and strongly preserving maps to arbitrary set based topological categories. Further, we obtain characterizations of each of these concepts as well as interprete analogues and generalizations of theorems of Gerlits at al [20] in the categories of filter and local filter convergence spaces.
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Erol Yildirim,Gokhan Erciyes,Mine Yurtsever 한국고분자학회 2013 Macromolecular Research Vol.21 No.9
Poly(ε-caprolactone) grafted polypyrroles (PPy-g-PCL) are an important member of hairy-rod copolymers which have many industrial applications. PPy-g-PCL cooligomers were studied for their electronic, structural and morphological properties by density functional theory (DFT), molecular dynamics and mesoscale dynamics simulation methods. The band gaps of the cooligomers were calculated at the B3LYP/6-31g(d,p) level by varying the grafting position of PCL group. UV spectra was studied by time-dependent DFT methods. The solubility parameters and interaction parameters between the PCL and PPy were calculated via molecular dynamics simulations. The morphological behaviors were studied by the molecular dynamics and dissipative particle dynamics (DPD) methods to understand the role of rigidity of polypyrrole backbone, the chain lengths of PPy and PCL and the incompatibility of the polymers on the formation of layered phase domains observed experimentally for high weight percentages of PCL side chains.
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Conditions implying continuity of maps
Mehmet Baran,Muammer Kula,Ayhan Erciyes 대한수학회 2009 대한수학회지 Vol.46 No.4
In this paper, we generalize the notions of preserving and strongly preserving maps to arbitrary set based topological categories. Further, we obtain characterizations of each of these concepts as well as interprete analogues and generalizations of theorems of Gerlits at al [20] in the categories of filter and local filter convergence spaces. In this paper, we generalize the notions of preserving and strongly preserving maps to arbitrary set based topological categories. Further, we obtain characterizations of each of these concepts as well as interprete analogues and generalizations of theorems of Gerlits at al [20] in the categories of filter and local filter convergence spaces.
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