Domain representability of retracts

We prove that every retract of a domain representable space is domain representable. Consequently, we obtained that if C-p (X) is a countable union of its closed subcompact subspaces then X is discrete. This solves Question 7 in [5].


There is no domain representable dense proper subsemigroup of a topological group
Önal, Süleyman (Elsevier BV, 2017-02-01)
We prove that the only domain representable dense subsemigroup of a topological group is itself. Consequently, we obtain that every domain representable subgroup of a topological group is closed.
Pilanci, Mehmet; Vural, Elif (2016-07-12)
We propose a domain adaptation algorithm that relies on a graph representation of data samples in the source and target domains. The algorithm combines the information of the known class labels in the source and target domains through the Fourier coefficients of the class label function in the two graphs. The proposed method does not require an ordering or a one-to-one mapping between the samples of the source and target domains; instead, it uses only a small set of matched pairs that serve the purpose of "...
C D-0(K, E) and C D-omega(K, E)-spaces as Banach lattices
Alpay, S; Ercan, Z (2000-01-01)
Banach lattices CD0(K,E) and CDomega(K,E) are introduced and lattice-norm properties of these spaces are investigated. We identify the centre and order continuous dual of these spaces.
User-guided transformations for ontology based simulation design
Özdikiş, Özer; Durak, Umut; Oğuztüzün, Mehmet Halit S. (null; 2009-12-01)
Using domain knowledge represented as ontologies for the design of domain specific architectures is a promising approach for better reusability. Tool support is essential for this approach to be effective. We present a flexible, user- guided transformation method to generate a framework architecture model from a domain model. The latter is in the form of an OWL ontology, and the former is in the form of a UML class diagram. We introduce a transformation tool that allows the user to configure mappings from t...
Linear Canonical Domains and Degrees of Freedom of Signals and Systems
Öktem, Sevinç Figen (2016-01-01)
We discuss the relationships between linear canonical transform (LCT) domains, fractional Fourier transform (FRT) domains, and the space-frequency plane. In particular, we show that LCT domains correspond to scaled fractional Fourier domains and thus to scaled oblique axes in the space-frequency plane. This allows LCT domains to be labeled and monotonically ordered by the corresponding fractional order parameter and provides a more transparent view of the evolution of light through an optical system modeled...
Citation Formats
S. Önal, “Domain representability of retracts,” TOPOLOGY AND ITS APPLICATIONS, pp. 1–3, 2015, Accessed: 00, 2020. [Online]. Available: