Unique Smallest Topology | Unique Largest Topology |12 | Topology by #mathuniverse28

Unique Smallest Topology | Unique Largest Topology |12 | Topology by #mathuniverse28 ABOUT VIDEO Hello Friends , My Name is Kamaljeet Mittal. This is the lecture series on the Point-set Topology or General Topology. This video is useful for those friends who are doing their Masters in Mathematics I mean Msc and those who are preparing for CSIR-UGC Net This can also be useful for BSC Honors in mathematics students. In this video , we are discussing about two important topologies Unique Largest topology and Unique Smallest Topology .................................................................................................................................. People can also search How to find unique smallest topology? How to find unique largest topology? Smallest topology containing all topologies Intersection of arbitrary collection of topologies is a topology Unique largest topology which is smaller(weaker) than each of the given topologies Unique smallest topology which is stronger than each of the given topologies Theorems of unique smallest and unique largest topology . . . . . . .................................................................... Theorem: The intersection of an arbitrary collection of topologies for a set X is itself a topology for X and this is a unique largest topology which is smaller than each of the given topologies. Theorem: If a family of topologies on X , the there exist a unique smallest topology on X which is stronger than each of given topologies. .......................................................................... #mathuniverse28 #topology #topologylectures #smallesttopology #largesttopology #topologytheorems #mathlovers Link of Playlist of All topology videos    • Point-set Topology Lecture Series .General...