Let $X$ be a topological space and let $f: X \to Y$ be a continuous function. Prove that if $X$ is compact, then $f(X)$ is compact.

In a metric space, prove closure of ( E ) is closed.

: Discusses compact spaces and countability. Reliable Solution Resources

Mendelson structures the subject by building from the familiar to the abstract. Unlike more encyclopedic texts, he focuses on the core pillars of general topology:

: Provides scanned, handwritten solutions for Chapters 1 through 3, covering Set Theory, Metric Spaces, and Topological Spaces [1]. Vaia (formerly StudySmarter) : Features a structured database of 128 solutions broken down by chapter [3]: : 25 Solutions : 35 Solutions : 28 Solutions : 18 Solutions : 22 Solutions GitHub Repository (LinuxMercedes)