Topology Tools
Department of Mathematics, Faculty of Science, University of Benghazi, Libya
Taha Guma el turki
e-mail: taha1978_2002@yahoo.com
The procedures in this application are related to point set topology , and they compute many new issues as the following :-
1) Checking Normality ,all normal spaces over a given set and their number .
2) Minimal Basic open set , minimal basis.
3) Number of weakly-dimensional topologies .
4) Check if two topologies are homeomorphic or not .
5) Disconnected spaces and their number.
6) Disjoint proper open sets , disjoint proper closed sets , proper sets .
7) Neither open nor closed sets
8) The user can compute the special points in more flexible method than the method in[1].
Note:-
For the following procedures the user have to enter ”n” the number of set points :-
1) All Extremal Topologies(n) ; # n the number of points.
2) Numberof Extremal Topologies(n);
3) AllNonTrivialMinimalTopologies(n);
4) NumberofNonTrivialMinimalTopologies(n);
References:-
[1] http://www.maplesoft.com/applications/view.aspx?SID=145571
[2] http://www.maplesoft.com/applications/view.aspx?SID=153617
[3] http://www.maplesoft.com/applications/view.aspx?SID=150631
[4] http://www.maplesoft.com/applications/view.aspx?SID=4122.