Definition
Topological Space
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"