General topology, also known simply as topology, is a branch of mathematics that deals with the properties of space that are preserved under continuous transformations. It provides the foundational language and concepts for many areas of mathematics by introducing notions such as continuity, compactness, connectedness, and convergence without relying on the traditional metrics of distance from geometry. Key concepts in general topology include: 1. **Topological Spaces**: A set equipped with a collection of open subsets that satisfy certain axioms.
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