Purchase Solution

Topologies : Open Sets

Not what you're looking for?

Ask Custom Question

? Let X:={a,b,c} be a set of three elements. A certain topology of X contains (among others) the sets {a}, {b}, and {c}. List all open sets in the topology T.
? Let X':={a,b,c,d,e} be a set of five elements. A certain topology T' on X' contains (among others) the sets {a,b,c}, {c,d} and {e}. List any other open set in T' which you know must be there. Also name one subset of X' which may or may not be open.

---
Please see the attached file for full problem description.

Attachments
Purchase this Solution

Solution Summary

Topologies and open sets are investigated.

Solution Preview

1. X={a,b,c}, the topology T contains {a}, {b}, {c}, then any subset of X is an open set in T.
T={empty set, X, {a}, {b}, {c}, ...

Purchase this Solution


Free BrainMass Quizzes
Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.

Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

Probability Quiz

Some questions on probability