Add to ORKGIn this thesis, we study Alexandroff spaces which are topological spaces in which arbitrary intersection of open sets is open. We study, among other things, the two papers titled "On finite To- topological spaces" by A. E. El-Atik et al. [4] and "On To- Alexandroff spaces" by H. B. Mahdi et al. [12]. We compare the study of the two papers and study the resultsm of [12] which are generalization of those of [4]. Then we determine the results in [12] which are not included in [4]. These results are still true in [4], since each finite space is Alexandroff. The heart of this study lies in the generalization of results of finite spaces in [4] to To- Alexandroff spaces. Certainly, we study other concepts such as generalized continuity, dimension ...
AbstractClassical characterizations of four separable metrizable spaces are recalled, and generalize...
In the following text a proper subclass of Alexandroff topological spaces, namely functional Alexand...
Graduation date: 1987The classical dimension theories of Menger-Urysohn and Lebesgue are equivalent ...
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...
In the following text we show that the Alexandroff space $X$ is uniformizable if and only if the col...
In this thesis, we study a special types of Alexandroff spaces, called upper bounded and lower bound...
The generalized closure operator induces a topology . In this paper, we study the topology &nb...
This thesis explores functionally Alexandroff topologies and the order theory asso- ciated when cons...
An Alexandroff space is a topological space whose topology is closed under intersections. The core ...
We prove that the unique possible flow in an Alexandroff T0-space is the trivial one. On the way of ...
In [3] some characterizations of F-splitting and F-admissible topologies on function spaces are give...
Bibliography: pages 96-103.In the early 1940's, A.D. Alexandroff [1940), [1941) and [1943] introduce...
In [3] some characterizations of F-splitting and F-admissible topologies on function spaces are give...
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...
In the following text a proper subclass of Alexandroff topological spaces, namely functional Alexand...
Graduation date: 1987The classical dimension theories of Menger-Urysohn and Lebesgue are equivalent ...
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...
In the following text we show that the Alexandroff space $X$ is uniformizable if and only if the col...
In this thesis, we study a special types of Alexandroff spaces, called upper bounded and lower bound...
The generalized closure operator induces a topology . In this paper, we study the topology &nb...
This thesis explores functionally Alexandroff topologies and the order theory asso- ciated when cons...
An Alexandroff space is a topological space whose topology is closed under intersections. The core ...
We prove that the unique possible flow in an Alexandroff T0-space is the trivial one. On the way of ...
In [3] some characterizations of F-splitting and F-admissible topologies on function spaces are give...
Bibliography: pages 96-103.In the early 1940's, A.D. Alexandroff [1940), [1941) and [1943] introduce...
In [3] some characterizations of F-splitting and F-admissible topologies on function spaces are give...
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...
In the following text a proper subclass of Alexandroff topological spaces, namely functional Alexand...
Graduation date: 1987The classical dimension theories of Menger-Urysohn and Lebesgue are equivalent ...