元が3つある集合の位相

topology.txt

S = {a,b,c}
P(S) = {∅, {a}, {b}, {c}, {a,b}, {b,c}, {c,a}, S}

T(S) = {
要素数: 2
{∅, S},

要素数: 3
{∅, S, {a}},    {∅, S, {b}},    {∅, S, {c}},
{∅, S, {a, b}}, {∅, S, {b, c}}, {∅, S, {c, a}},

{∅, S, {a}, {a, b}}, {∅, S, {b}, {b, c}}, {∅, S, {c}, {c, a}},
{∅, S, {a}, {c, a}}, {∅, S, {b}, {a, b}}, {∅, S, {c}, {b, c}},

要素数: 4
{∅, S, {a}, {b, c}}, {∅, S, {b}, {c, a}}, {∅, S, {c}, {a, b}},

要素数: 5
{∅, S, {a}, {a, b}, {a, c}}, {∅, S, {b}, {a, b}, {b, c}}, {∅, S, {c}, {c, a}, {b, c}},
{∅, S, {a}, {b}, {a, b}},    {∅, S, {b}, {c}, {b, c}},    {∅, S, {c}, {a}, {c, a}},

要素数: 6
{∅, S, {a}, {b}, {a, b}, {b, c}}, {∅, S, {a}, {b}, {a, b}, {c, a}},
{∅, S, {b}, {c}, {b, c}, {a, b}}, {∅, S, {b}, {c}, {b, c}, {c, a}},
{∅, S, {c}, {a}, {c, a}, {a, b}}, {∅, S, {c}, {a}, {c, a}, {b, c}},

要素数: 8
P(S)
}