@article{Dridi_Lazaar_Turki_2013, title={F-door spaces and F-submaximal spaces}, volume={14}, url={https://polipapers.upv.es/index.php/AGT/article/view/1621}, DOI={10.4995/agt.2013.1621}, abstractNote={<p>Submaximal spaces and door spaces play an enigmatic role in topology. In this paper, reinforcing this role, we are concerned with reaching two main goals:</p><p>The first one is to characterize topological spaces X such that F(X) is a submaximal space (resp., door space) for some covariant functor Ff rom the category Top to itself. T0, and FH functors are completely studied.</p><p>Secondly, our interest is directed towards the characterization of maps f given by a flow (X, f) in the category Set, such that (X,P(f)) is submaximal (resp., door) where P(f) is a topology on X whose closed sets are exactly the f-invariant sets.</p>}, number={1}, journal={Applied General Topology}, author={Dridi, Lobna and Lazaar, Sami and Turki, Tarek}, year={2013}, month={Apr.}, pages={97–113} }