Topic: Topology (Undergraduate)

Why Images Do Not Preserve Complements

Why Finite Product and Box Topologies Agree

Why Finite T1 Spaces Are Discrete

Why Every Order Topology Is Hausdorff

Why Every Open Ball Is Open

Why Every Lift Satisfies the Subgroup Criterion

Why Euler Characteristic Survives Subdivision

Why Every Interval Is Connected

Why Connected Subsets of R Are Intervals

Why Continuous Preimages Need Not Be Connected