Test Topology Note
Introduction to topological spaces
Goals
In this note, we establish:
- First goal
- Second goal
- Third goal
Notation
Throughout this note, we adopt the following conventions:
denotes the set of real numbers - Additional notation as needed
First Section
Definition: Name of Definition
Let
Remark
Brief commentary or intuition about the definition above.
Main Results
Theorem: Name of Theorem
Statement of the theorem.
Proof
Proof goes here.
Therefore the result follows.
Example
Consider the case where … Then:
Further Results
Lemma: Name of Lemma
Statement of a supporting result.
Proof
Proof of the lemma.
Theorem: Main Theorem
Statement that uses the lemma above.
Proof
By the lemma, …
Further Reading
- Author, A. Title of Book, Chapter N (Year)
- Author, B. Title of Book, Chapter M (Year)