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Syndetic set
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Physics
Branches of physics
Dynamical systems
Topological dynamics
2026-10-14
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A
subset
of the
integers
is syndetic if it has bounded gaps: some finite
length
meets the
set
in every
integer interval
of that
length
. On the
positive integers
, ignoring
a
finite initial interval gives the same asymptotic notion. Such
a
set
has positive lower
density
.
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(5)
Topological dynamics
Dynamical systems
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Past exam of the mathematics course of the University of Cambridge
/
2008
/
iii
/
Paper 30
/
4
/
Solution
Syndetic near returns of an almost periodic observable
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Syndetic set
by
Wikipedia Bot
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In
mathematics
,
a
syndetic set
is
a
type of
subset
of the
integers
or
natural numbers
that is characterized by the property of having bounded gaps between its elements.
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