We study some topological properties of the class of the Alexandroff duplicates and their subspaces. We give a characterization of metrizability and Lindel¨of properties of subspaces of the Alexandroff duplicate. This characterization clarifies the potential for finding Michael spaces among the subspaces of Alexandroff duplicates
Summary.We continue Mizar formalization of general topology according to the book [16] by Engelking....
Alexandroff topologies play an enigmatic role in topology. An important family of Alexandroff topolo...
AbstractClassical characterizations of four separable metrizable spaces are recalled, and generalize...
summary:We characterize the subsets of the Alexandroff duplicate which have a G$_\delta$-diagonal an...
Abstract. We characterize the subsets of the Alexandroff duplicate which have a Gδ-diagonal and the ...
summary:We characterize the subsets of the Alexandroff duplicate which have a G$_\delta$-diagonal an...
summary:In this paper, we prove the following statements: \item {(1)} There exists a Hausdorff Linde...
In the following text a proper subclass of Alexandroff topological spaces, namely functional Alexand...
AbstractA topological space X is called linearly Lindelöf if every increasing open cover of X has a ...
Alexandroff spaces have all the properties of finite spaces and therefore play an important role in ...
AbstractIn this paper we define and study several versions of properties (a) and (pp) and their rela...
It was demonstrated in [2] that the Alexandroff duplicate of the Čech-Stone compactification of the ...
AbstractAlexandroff spaces have all the properties of finite spaces and therefore play an important ...
Alexandroff topological space is a kind of topology which satisfies a stronger condition. Namely, ar...
Alexandroff spaces have all the properties of finite spaces and the- refore play an important role i...
Summary.We continue Mizar formalization of general topology according to the book [16] by Engelking....
Alexandroff topologies play an enigmatic role in topology. An important family of Alexandroff topolo...
AbstractClassical characterizations of four separable metrizable spaces are recalled, and generalize...
summary:We characterize the subsets of the Alexandroff duplicate which have a G$_\delta$-diagonal an...
Abstract. We characterize the subsets of the Alexandroff duplicate which have a Gδ-diagonal and the ...
summary:We characterize the subsets of the Alexandroff duplicate which have a G$_\delta$-diagonal an...
summary:In this paper, we prove the following statements: \item {(1)} There exists a Hausdorff Linde...
In the following text a proper subclass of Alexandroff topological spaces, namely functional Alexand...
AbstractA topological space X is called linearly Lindelöf if every increasing open cover of X has a ...
Alexandroff spaces have all the properties of finite spaces and therefore play an important role in ...
AbstractIn this paper we define and study several versions of properties (a) and (pp) and their rela...
It was demonstrated in [2] that the Alexandroff duplicate of the Čech-Stone compactification of the ...
AbstractAlexandroff spaces have all the properties of finite spaces and therefore play an important ...
Alexandroff topological space is a kind of topology which satisfies a stronger condition. Namely, ar...
Alexandroff spaces have all the properties of finite spaces and the- refore play an important role i...
Summary.We continue Mizar formalization of general topology according to the book [16] by Engelking....
Alexandroff topologies play an enigmatic role in topology. An important family of Alexandroff topolo...
AbstractClassical characterizations of four separable metrizable spaces are recalled, and generalize...
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