TY - JOUR
AU - Dridi, Lobna
AU - Lazaar, Sami
AU - Turki, Tarek
PY - 2013/04/01
Y2 - 2024/05/25
TI - F-door spaces and F-submaximal spaces
JF - Applied General Topology
JA - Appl. Gen. Topol.
VL - 14
IS - 1
SE -
DO - 10.4995/agt.2013.1621
UR - https://polipapers.upv.es/index.php/AGT/article/view/1621
SP - 97-113
AB - <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>
ER -