Book:Steven A. Gaal/Point Set Topology

Subject Matter

 * Topology

Contents



 * Introduction to Set Theory
 * 1.
 * 2.
 * 3.


 * Chapter $\text {I}$ Topological Spaces
 * 1.
 * 2.
 * 3.
 * 4.
 * 5.
 * 6.
 * 7.
 * 8.
 * 9.
 * 10.
 * 11.
 * 12.
 * 13.
 * 14.


 * Chapter $\text {II}$ Separation Properties
 * 1.
 * 2.
 * 3.
 * 4.
 * 5.
 * 6.
 * 7.
 * 8.
 * 9.
 * 10.
 * 11.
 * 12.


 * Chapter $\text {III}$ Compactness and Uniformization
 * 1.
 * 2.
 * 3.
 * 4.
 * 5.
 * 6.
 * 7.
 * 8.
 * 9.


 * Chapter $\text {IV}$ Continuity
 * 1.
 * 2.
 * 3.
 * 4.
 * 5.
 * 6.
 * 7.
 * 8.
 * 9.
 * 10.
 * 11.
 * 12.


 * Chapter $\text {V}$ Theory of Convergence
 * 1.
 * 2.
 * 3.
 * 4.
 * 5.
 * 6.
 * 7.
 * 8.
 * 9.





Zero Element of Union and Intersection
Introduction to Set Theory: $1$. Elementary Operations on Sets:

Cartesian Product of Countable Sets is Countable: Formal Proof 2
Introduction to Set Theory: $2$. Set Theoretical Equivalence and Denumerability:

Source work progress
* : $\S 1.1$: Exercise $1 \ \text{(c)}$


 * Redoing from start, so far up to:


 * : Introduction to Set Theory: $3$. The Axiom of Choice and Its Equivalents


 * From here on in there is much work to do on Axiom:Axiom of Choice.


 * Starting on Chapter $\text I$ with :


 * : Chapter $\text {I}$: Topological Spaces: $1$. Open Sets and Closed Sets