Some topological properties of the spaces $exp$X, $\lambda$X and NX
Mathematica Moravica, Tome 21 (2017) no. 1.
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In this paper we prove that the exponential functor $exp$ and the functor of superextension $\lambda$ preserve some topological properties with respect to the topology of any $T_{1}$-space, and the functor of complete linked systems N preserves some topological properties with respect to the topology of any compact space.
Mots-clés :
$\pi$-base, exponential functor $exp$, the functor of superextension $\lambda$, the functor of complete linked systems N
@article{MM3_2017_21_1_a1, author = {F.G. Mukhamadiev}, title = {Some topological properties of the spaces $exp${X,} $\lambda${X} and {NX}}, journal = {Mathematica Moravica}, pages = {17 - 25}, publisher = {mathdoc}, volume = {21}, number = {1}, year = {2017}, url = {https://geodesic-test.mathdoc.fr/item/MM3_2017_21_1_a1/} }
F.G. Mukhamadiev. Some topological properties of the spaces $exp$X, $\lambda$X and NX. Mathematica Moravica, Tome 21 (2017) no. 1. https://geodesic-test.mathdoc.fr/item/MM3_2017_21_1_a1/