Topology of ℝ
18 problems · Open and closed sets, compact sets and connectedness.
Ex.280Open balls in $\mathbb{R}$
Topology of ℝ
L1
Ex.281Open intervals are open sets
Topology of ℝ
L1
Ex.581Closed sets
Topology of ℝ
L1
Ex.582Closed intervals are closed
Topology of ℝ
L1
Ex.583Finite intersections of open sets
Topology of ℝ
L1
Ex.584Arbitrary unions of open sets
Topology of ℝ
L1
Ex.1184Interior, closure, boundary
Topology of ℝ
L1
Ex.1185Connected subsets of $\mathbb{R}$
Topology of ℝ
L1
Ex.1186Limit points
Topology of ℝ
L1
Ex.1187Dense sets
Topology of ℝ
L1
Ex.1884Accumulation points of $\mathbb{Q}$
Topology of ℝ
L1
Ex.1885The Cantor set is compact
Topology of ℝ
L1
Ex.1886Compact sets in $\mathbb{R}$
Topology of ℝ
L1
Ex.1887Sequential compactness in $\mathbb{R}$
Topology of ℝ
L1
Ex.1888Continuity via open preimages
Topology of ℝ
L1
Ex.1889Limit superior and limit inferior
Topology of ℝ
L1
Ex.1890The Borel–Lebesgue property
Topology of ℝ
L1
Ex.2221Baire category theorem for $\mathbb{R}$
Topology of ℝ
M1
No problem matches these filters.