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Munkres Topology Solutions Chapter 5 Form

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hello guys so for this problem we're going to do i want to do a simple topology problem where i'm going to have that x is going to be in my topological space and for this topological space what i'm going to have i'm going to have uh a to be my subset and for that a for every time when i'm going to choose a point x inside my a for that point i always can find the open uh set u that contains x which is going to be subset of a so first we need to remember like understand that x is a topological space and remember that x is topological space if it's going to be a set with some choice of its own subset so in other words we have that we have x and we have like let's call it tau where tau is going to be a subset of power set of x and then for this style what do we want to have you want to have three properties and you can check those properties in my previous video okay uh the next thing let's sketch a diagram that will that is g

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