# The Morris model

@article{Karagila2018TheMM, title={The Morris model}, author={Asaf Karagila}, journal={arXiv: Logic}, year={2018} }

Douglass B. Morris announced in 1970 that it is consistent with ZF that "For every $\alpha$, there exists a set $A_\alpha$ which is the countable union of countable sets, and $\mathcal P(A_\alpha)$ can be partitioned into $\aleph_\alpha$ non-empty sets". The result was never published in a journal, and seems to have been lost, save a mention in Jech's "Axiom of Choice". We provide a proof using modern tools derived from recent work of the author. We also prove a new preservation theorem for… Expand

#### 2 Citations

#### References

SHOWING 1-10 OF 10 REFERENCES

L O ] 1 J ul 2 01 6 An Easton-like theorem for Zermelo-Fraenkel Set Theory without Choice

- 2018

An Easton-like theorem for Zermelo–Fraenkel set theory without choice, ArXiv e-prints

- 2016

The axiom of choice, North-Holland Publishing Co., Amsterdam-London; Amercan Elsevier Publishing Co., Inc

- New York,
- 1973

Adding total indiscernibles to models of set theory

- Ph.D. thesis,
- 1970