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On sheaves of Abelian groups and universality
Get PDF[EN] Universal elements are one of the most essential parts in research fields, investigating if there exist (or not) universal elements in different classes of objects. For example, classes of spaces and frames have been studied under the prism of this universality property. In this paper, studying classes of sheaves of Abelian groups, we construct proper universal elements for these classes, giving a positive answer to the existence of such elements in these classes. Moscow Center of Fundamental and Applied MathematicsIliadis, S.; Sadovnichy, YV. (2021). On sheaves of Abelian groups and universality. Applied General Topology. 22(1):149-167. https://doi.org/10.4995/agt.2021.14422OJS149167221G. E. Bredon, Sheaf Theory, McGraw-Hill, New York, 1967T. Dube, S. Iliadis, J. van Mill and I. Naidoo, Universal frames, Topology and its Applications 160, no. 18 (2013), 2454-2464. https://doi.org/10.1016/j.topol.2013.07.039D. N. Georgiou, S. D. Iliadis and A. C. Megaritis, On base dimension-like functions of the type Ind, Topology and its Applications 160, no. 18 (2013), 2482-2494. https://doi.org/10.1016/j.topol.2013.07.042D. N. Georgiou, S. D. Iliadis, A. C. Megaritis and F. Sereti, Universality property and dimension for frames, Order 37, no. 3 (2019), 427-444. https://doi.org/10.1007/s11083-019-09513-3D. N. Georgiou, S. D. Iliadis, A. C. Megaritis and F. Sereti, Small inductive dimension and universality on frames, Algebra Universalis 80, no. 2 (2019), 21-51. https://doi.org/10.1007/s00012-019-0593-5P. S. Gevorgyan, S. D. Iliadis and Yu V. Sadovnichy, Universality on frames, Topology and its Applications 220 (2017), 173-188. https://doi.org/10.1016/j.topol.2017.02.010S. D. Iliadis, A construction of containing spaces, Topology and its Applications 107 (2000), 97-116. https://doi.org/10.1016/S0166-8641(00)90095-6S. D. Iliadis, Mappings and universality, Topology and its Applications 137, no. 1-3 (2004), 175-186. https://doi.org/10.1016/S0166-8641(03)00207-4S. D. Iliadis, Universal Spaces and Mappings, North-Holland Mathematics Studies 198, Elsevier, 2005.S. D. Iliadis, On isometrically universal spaces, mappings, and actions of groups, Topology and its Applications 155, no. 14 (2008), 1502-1515. https://doi.org/10.1016/j.topol.2008.03.006S. D. Iliadis, Universal elements in some classes of mappings and classes of G-spaces, Topology and its Applications 156, no. 1 (2008), 76-82. https://doi.org/10.1016/j.topol.2008.04.010S. D. Iliadis, A separable complete metric space of dimension n containing isometrically all compact metric spaces of dimension n, Topology and its Applications 160, no. 11 (2013), 1271-1283. https://doi.org/10.1016/j.topol.2013.04.020S. D. Iliadis and I. Naidoo, On isometric embeddings of compact metric spaces of a countable dimension, Topology and its Applications 160, no. 11 (2013), 1284-1291. https://doi.org/10.1016/j.topol.2013.04.021S. D. Iliadis, On embeddings of topological groups, Fundamental and Applied Mathematics 20, no. 2 (2015), 105-112 (Russian). Journal of Mathematical Sciences 223, no. 6 (2017), 720-724 (English). https://doi.org/10.1007/s10958-017-3381-9S. D. Iliadis, On isometric embeddings of separable metric spaces, Topology and its Applications 179 (2015), 91-98. https://doi.org/10.1016/j.topol.2014.08.019S. D. Iliadis, Dimension and universality on frames, Topology and its Applications 201 (2016), 92-109. https://doi.org/10.1016/j.topol.2015.12.029S. D. Iliadis, On spaces continuously containing topological groups, Topology and its Applications 272 (2020),107072. https://doi.org/10.1016/j.topol.2020.107072S. D. Iliadis, On actions of spaces continuously containing topological groups, Topology and its Applications 275 (2020), 107035. https://doi.org/10.1016/j.topol.2019.10703
Universal elements in some classes of mappings and classes of G-spaces
No full textAbstractIn the present paper it is proved the existence of topologically universal elements in some classes of mappings and classes of G-spaces generalizing some results from [S.D. Iliadis, Universal Spaces and Mappings, North-Holland Math. Stud., vol. 198, Elsevier, 2005] and [S.D. Iliadis, Universal Borel mappings and Borel actions of groups, Topology Appl., in press, doi:10.1016/j.topol.2007.05.029]
Eleni Iliadis (1895-1975). An Ottoman Greek woman painter in end-of-Empire Istanbul Eleni Iliadis (1895-1975). Une artiste grecque ottomane dans l'Istanbul fin-de-siècle
No full textThis article traces the early success of an Ottoman Greek woman artist, Eleni Iliadis, in the Istanbul art world during the First World War and her subsequent disappearance from Turkish art history after the foundation of the Republic in 1923. Drawing on revisionist and feminist approaches to art history, the paper makes visible Iliadis’ hidden history – her art education in Munich, the exhibitions she participated in and the awards and state patronage she received in wartime Istanbul, especially for her recently rediscovered painting Kitaracı (Guitar Player). I examine the gender politics of art education, production, and reception in the early twentieth-century art world and argue that Iliadis’ identity as a woman and non-Muslim artist presented a challenge to a male-dominated and turkified national art history that eventually erased her story from cultural memory
Classifying the differences in gaze patterns of alphabetic and logographic L1 readers - A neural network approach
No full textKrause AF, Essig K, Essig-Shih L-Y, Schack T. Classifying the differences in gaze patterns of alphabetic and logographic L1 readers - A neural network approach. In: Iliadis L, Jayne C, eds. Engineering Applications of Neural Networks, The 12th Engineering Applications of Neural Networks Conference (EANN2011). 2011: 78-84
Brain-inspired computing and machine learning
No full textIliadis LS, Kurkova V, Hammer B. Brain-inspired computing and machine learning. NEURAL COMPUTING & APPLICATIONS. 2020
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