A class of topological spaces between the classes of regular and urysohn spaces
-
Dimitrios N. Georgiou
and
Athanasios C. Megaritis
Abstract
The notion of rU-space is given and investigated. A space X is said to be a rU-space if X is a Hausdorff space and for every x ∈ X and every open neighbourhood V of x there exists an open neighbourhood U of x such that U ⊆ Cl(V) and Bd(U) ⊆ V. The class of rU-spaces is properly placed between the classes of regular and Urysohn spaces.
Acknowledgement
The authors would like to thank the referee for the valuable comments and suggestions that improved the quality of the paper.
References
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© 2017 Mathematical Institute Slovak Academy of Sciences
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Articles in the same Issue
- Cyclic and rotational latin hybrid triple systems
- Notes on mildly distributive semilattices
- On generalized completely distributive posets
- Properties of non-associative MV-algebras
- On the upper and lower exponential density functions
- Quadratic permutations, complete mappings and mutually orthogonal latin squares
- On F-groups with the central factor of order p4
- Comparison of some families of real functions in porosity terms
- Negative interest rates: why and how?
- Homoclinic and heteroclinic motions in hybrid systems with impacts
- Some fixed point theorems in Branciari metric spaces
- S-essential spectra and measure of noncompactness
- Unified approach to graphs and metric spaces
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- A class of topological spaces between the classes of regular and urysohn spaces
- On The betti numbers of oriented Grassmannians and independent semi-invariants of binary forms
- Generalized Baskakov type operators
