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An algebraic difference between isols and cosimple isols

  • Erik Ellentuck (a1) (a2)

Abstract

There is a fairly simple algebraic property that distinguishes isols from cosimple isols.

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[1]Cohen, P. J., Set theory and the continuum hypothesis, Benjamin, New York, 1966.
[2]Dekker, J. C. E. and Myhill, J., Recursive equivalence types, University of California Publications in Pure Mathematics, vol. 3 (1960), pp. 67213.
[3]Ellentuck, E., Universal isols, Mathematische Zeitschrift, vol. 98 (1967), pp. 18.
[4]Ellentuck, E., Degrees of isolic theories, Notre Dame Journal of Formal Logic (to appear).
[5]Hay, L., Elementary differences between the isols and the cosimple isols, Transactions of the American Mathematical Society, vol. 127 (1967), pp. 427441.
[6]Jockusch, C. G. Jr., Ramsey's theorem and recursion theory, this Journal (to appear).
[7]Manaster, A. B., Higher-order indecomposable isols, Transactions of the American Mathematical Society, vol. 125 (1966), pp. 363383.
[8]Ramsey, F. P., On a problem in formal logic, Proceedings of the London Mathematical Society, vol. 30 (1930), pp. 264286.
[9]Ryan, B. F., ω-cohesive sets, Ph.D. Thesis, Cornell University, Ithaca, New York, 1968.

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