Remarks on finite topological spaces
Remarks on fixed point theorem for inverse limit spaces
Remarks on Hausdorff continuous multifunction and selections
Remarks on -density and -approximately continuous functions
Remarks on intrinsic isometries
Remarks on -subalgebras of
Let denote a subalgebra of which is closed under local bounded inversion, briefly, an -subalgebra. These subalgebras were first introduced and studied in Redlin L., Watson S., Structure spaces for rings of continuous functions with applications to realcompactifications, Fund. Math. 152 (1997), 151–163. By characterizing maximal ideals of , we generalize the notion of -ideals, which was first introduced in Acharyya S.K., De D., An interesting class of ideals in subalgebras of containing...
Remarks on Lipschitzian mappings and some fixed point theorems.
Remarks on locally closed sets.
Remarks on metrizable locales
Remarks on monotonically star compact spaces
Remarks on Namioka spaces and R. E. Johnson's theorem on the norm seperability of the range of certain mappings.
Remarks on non-planable dendroids
Remarks on open-closed mappings
Remarks on product spaces
Remarks on products of σ-ideals
Remarks on recent fixed point theorems.
Remarks on recent fixed point theorems for compatible maps.
Remarks on reflections
Remarks on sequence covering images of metric spaces.
Remarks on sequence-covering maps
In this paper, we prove that each sequence-covering and boundary-compact map on -metrizable spaces is 1-sequence-covering. Then, we give some relationships between sequence-covering maps and 1-sequence-covering maps or weak-open maps, and give an affirmative answer to the problem posed by F.C. Lin and S. Lin in [Lin.F.C.and.Lin.S-2011].