# A new large cardinal and Laver sequences for extendibles

Fundamenta Mathematicae (1997)

- Volume: 152, Issue: 2, page 183-188
- ISSN: 0016-2736

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topCorazza, Paul. "A new large cardinal and Laver sequences for extendibles." Fundamenta Mathematicae 152.2 (1997): 183-188. <http://eudml.org/doc/212205>.

@article{Corazza1997,

abstract = {We define a new large cardinal axiom that fits between $A_3$ and $A_4$ in the hierarchy of axioms described in [SRK]. We use this new axiom to obtain a Laver sequence for extendible cardinals, improving the known large cardinal upper bound for the existence of such sequences.},

author = {Corazza, Paul},

journal = {Fundamenta Mathematicae},

keywords = {hierarchy of large-cardinal axioms; large cardinal axiom; Laver sequence for extendible cardinals},

language = {eng},

number = {2},

pages = {183-188},

title = {A new large cardinal and Laver sequences for extendibles},

url = {http://eudml.org/doc/212205},

volume = {152},

year = {1997},

}

TY - JOUR

AU - Corazza, Paul

TI - A new large cardinal and Laver sequences for extendibles

JO - Fundamenta Mathematicae

PY - 1997

VL - 152

IS - 2

SP - 183

EP - 188

AB - We define a new large cardinal axiom that fits between $A_3$ and $A_4$ in the hierarchy of axioms described in [SRK]. We use this new axiom to obtain a Laver sequence for extendible cardinals, improving the known large cardinal upper bound for the existence of such sequences.

LA - eng

KW - hierarchy of large-cardinal axioms; large cardinal axiom; Laver sequence for extendible cardinals

UR - http://eudml.org/doc/212205

ER -

## References

top- [C] P. Corazza, The wholeness axiom and Laver sequences, Ann. Pure Appl. Logic, 98 pp., submitted. Zbl0999.03048
- [GS] M. Gitik, and S. Shelah, On certain indestructibility of strong cardinals and a question of Hajnal, Arch. Math. Logic 28 (1989), 35-42. Zbl0663.03041
- [K] A. Kanamori, The Higher Infinite, Springer, New York, 1994. Zbl0813.03034
- [L] R. Laver, Making the supercompactness of κ indestructible under κ-directed closed forcing, Israel J. Math. 29 (1978), 385-388. Zbl0381.03039
- [SRK] R. Solovay, W. Reinhardt and A. Kanamori, Strong axioms of infinity and elementary embeddings, Ann. Math. Logic 13 (1978), 73-116. Zbl0376.02055

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