Abstract
In this paper we introduce a new definition of the topological space weaker of Alexandroff space, namely pre-Alexandroff space. These spaces are which arbitrary intersection of an open set is a pre-open set. In addition to give a new definition of minimal pre-open sets and investigate about some of its properties, also we get some theorems and result related to this space.
The article was added to IASJ on 2013-06-30
326 Total full text downloads since the date of addition
Year |
Total |
Jan |
Feb |
Mar |
Apr |
May |
Jun |
Jul |
Aug |
Sep |
Oct |
Nov |
Dec |
2024 |
2 |
2 |
|
|
|
|
|
|
|
|
|
|
|
2023 |
10 |
|
|
|
1 |
|
1 |
|
2 |
1 |
2 |
2 |
1 |
2022 |
21 |
4 |
1 |
1 |
3 |
2 |
1 |
4 |
1 |
3 |
|
1 |
|
2021 |
25 |
6 |
4 |
|
|
4 |
7 |
1 |
2 |
|
|
|
1 |
2020 |
22 |
|
2 |
|
5 |
|
6 |
2 |
2 |
1 |
1 |
|
3 |
2019 |
21 |
|
|
1 |
2 |
1 |
2 |
1 |
3 |
3 |
1 |
5 |
2 |
2018 |
8 |
1 |
|
|
|
1 |
3 |
1 |
|
|
|
1 |
1 |
2017 |
27 |
2 |
3 |
8 |
1 |
5 |
|
2 |
1 |
|
1 |
|
4 |
2016 |
34 |
1 |
|
3 |
4 |
2 |
6 |
3 |
6 |
5 |
2 |
1 |
1 |
2015 |
77 |
4 |
6 |
13 |
5 |
3 |
12 |
12 |
3 |
2 |
4 |
6 |
7 |
2014 |
60 |
3 |
7 |
4 |
3 |
2 |
2 |
2 |
1 |
4 |
5 |
5 |
22 |
2013 |
19 |
|
|
|
|
|
|
2 |
3 |
6 |
4 |
|
4 |
Usage is updated on a monthly basis.