- In mathematics, the term
supercompact may
refer to: In set theory, a
supercompact cardinal In topology, a
supercompact space. This
disambiguation page...
- M'\vert <\vert M\vert } ) that
satisfies ϕ {\displaystyle \phi } .
Supercompactness has a
combinatorial characterization similar to the
property of being...
-
cardinals almost high jump
cardinals Vopěnka cardinals,
Shelah for
supercompactness, high jump cardinals,
super high jump
cardinals n-superstrong (n≥2)...
-
Supercompactness and the
related notion of
superextension was
introduced by J. de
Groot in 1967. By the
Alexander subbase theorem,
every supercompact...
- concept.
Strong compactness implies measurability, and is
implied by
supercompactness.
Given that the
relevant cardinals exist, it is
consistent with ZFC...
-
consistency of the
proper forcing axiom. Laver,
Richard (1978). "Making the
supercompactness of κ
indestructible under κ-directed
closed forcing".
Israel Journal...
-
cardinal is a type of
large cardinal. It is a
weakening of the
notion of a
supercompact cardinal. If λ is any ordinal, κ is λ-strong
means that κ is a cardinal...
- 137: 151–169. doi:10.1007/bf02392416. R.
Laver (1978). "Making the
supercompactness of κ
indestructible under κ-directed
closed forcing".
Israel Journal...
-
existence of a
strongly compact cardinal imply the
consistent existence of a
supercompact cardinal? Does
there exist a Jónsson
algebra on ℵω? Is OCA (the open...
-
implies the
consistency of a
supercompact cardinal, nevertheless, the
least huge
cardinal is
smaller than the
least supercompact cardinal (****uming both exist)...
