@article{Zvina_2011, title={Introduction to generalized topological spaces}, volume={12}, url={https://polipapers.upv.es/index.php/AGT/article/view/1701}, DOI={10.4995/agt.2011.1701}, abstractNote={We introduce the notion of generalized topological space (gt-space). Generalized topology of gt-space has the structure of frame and is closed under arbitrary unions and finite intersections modulo small subsets. The family of small subsets of a gt-space forms an ideal that is compatible with the generalized topology. To support the definition of gt-space we prove the frame embedding modulo compatible ideal theorem. Weprovide some examples of gt-spaces and study key topological notions (continuity, separation axioms, cardinal invariants) in terms of generalized spaces.}, number={1}, journal={Applied General Topology}, author={Zvina, Irina}, year={2011}, month={Apr.}, pages={49–66} }