Topology of ℝⁿ
20 problems · Open and closed sets, compact sets and connectedness.
Ex.282Closed sets in $\mathbb{R}^n$
Topology of ℝⁿ
L1
Ex.283Open balls in $\mathbb{R}^n$
Topology of ℝⁿ
L1
Ex.284Open sets in $\mathbb{R}^n$
Topology of ℝⁿ
L1
Ex.585Boundary of an open set
Topology of ℝⁿ
L1
Ex.586Boundary of a ball
Topology of ℝⁿ
L1
Ex.587Interior, closure, boundary
Topology of ℝⁿ
L1
Ex.588Limit points in $\mathbb{R}^n$
Topology of ℝⁿ
L1
Ex.589Stability of open and closed sets
Topology of ℝⁿ
L1
Ex.1188Heine–Borel in $\mathbb{R}^n$
Topology of ℝⁿ
L1
Ex.1189Continuous image of a compact set
Topology of ℝⁿ
L1
Ex.1190Connectedness in $\mathbb{R}^n$
Topology of ℝⁿ
L1
Ex.1191Convex sets are connected
Topology of ℝⁿ
L1
Ex.1192Continuity versus iterated limits
Topology of ℝⁿ
L1
Ex.1193Sequential compactness in $\mathbb{R}^n$
Topology of ℝⁿ
L1
Ex.1891Baire category theorem for $\mathbb{R}^n$
Topology of ℝⁿ
M1
Ex.1892Continuity and open preimages
Topology of ℝⁿ
L1
Ex.1893Ball and cube are homeomorphic
Topology of ℝⁿ
M1
Ex.1894Isometries of $\mathbb{R}^n$
Topology of ℝⁿ
M1
Ex.1895Heine–Cantor in $\mathbb{R}^n$
Topology of ℝⁿ
M1
Ex.2245Solving a non-linear system via the continuity method
Topology of ℝⁿ
M1
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