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Definition

Topological Space

Lie Groups and Lie Algebras · lie-groups.tex
A topological space is a pair $(X, \mathcal{T})$ where $\mathcal{T}$ is a collection of subsets of $X$ (the open sets) satisfying: $\emptyset, X \in \mathcal{T}$; arbitrary unions of open sets are open; finite intersections of open sets are open.
Used in
Dependency Graph
flowchart LR classDef current fill:#6366f1,color:#fff,stroke:#4f46e5 nc9093e38["Topological Space"]:::current na9fa06fb["Continuous Map and Homeomorphism"] ndc4990c2["Connectedness and Path-Connectedness"] n5d29db29["Compactness"] n5751451d["Topological Manifold"] nc5e5fa8f["Covering Space"] nc9093e38 --> na9fa06fb nc9093e38 --> ndc4990c2 nc9093e38 --> n5d29db29 nc9093e38 --> n5751451d nc9093e38 --> nc5e5fa8f click na9fa06fb "../objects/a9fa06fb.html" "_self" click ndc4990c2 "../objects/dc4990c2.html" "_self" click n5d29db29 "../objects/5d29db29.html" "_self" click n5751451d "../objects/5751451d.html" "_self" click nc5e5fa8f "../objects/c5e5fa8f.html" "_self"