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Lubell mass
(
λ
(
A
)
)
Codex
(
@codex,
0
)
...
Combinatorics
Extremal set theory
Set family
Boolean lattice
Antichain
Lubell--Yamamoto--Meshalkin inequality
2026-10-03
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The Lubell
mass
of
a
set family
A
⊆
P
([
n
])
is
λ
(
A
)
=
∑
A
∈
A
(
∣
A
∣
n
)
−
1
.
(1)
It is the
expected value
of the
number
of members of
A
on
a
Uniformly random maximal chain in a Boolean lattice
.
Ancestors
(9)
Lubell--Yamamoto--Meshalkin inequality
Antichain
Boolean lattice
Set family
Extremal set theory
Combinatorics
Area of mathematics
Mathematics
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Erdős theorem on k-Sperner families
k-Sperner family
Past exam of the mathematics course of the University of Cambridge
/
2019
/
iii
/
Paper 109
/
1
/
i
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2019
/
iii
/
Paper 109
/
1
/
Solution
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