Boolean powers and stochastic spaces

Costas A. Drossos; George Markakis

Mathematica Slovaca (1994)

  • Volume: 44, Issue: 1, page 1-19
  • ISSN: 0232-0525

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Drossos, Costas A., and Markakis, George. "Boolean powers and stochastic spaces." Mathematica Slovaca 44.1 (1994): 1-19. <http://eudml.org/doc/31704>.

@article{Drossos1994,
author = {Drossos, Costas A., Markakis, George},
journal = {Mathematica Slovaca},
keywords = {Boolean nonstandard reals; elementary stochastic space; stochastic interpretation of the Boolean power structure; Boolean analysis; full Boolean-valued model; Cauchy sequences; Dedekind cuts},
language = {eng},
number = {1},
pages = {1-19},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Boolean powers and stochastic spaces},
url = {http://eudml.org/doc/31704},
volume = {44},
year = {1994},
}

TY - JOUR
AU - Drossos, Costas A.
AU - Markakis, George
TI - Boolean powers and stochastic spaces
JO - Mathematica Slovaca
PY - 1994
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 44
IS - 1
SP - 1
EP - 19
LA - eng
KW - Boolean nonstandard reals; elementary stochastic space; stochastic interpretation of the Boolean power structure; Boolean analysis; full Boolean-valued model; Cauchy sequences; Dedekind cuts
UR - http://eudml.org/doc/31704
ER -

References

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  1. GRÄTZER G., Universal Algebra, (2nd edition), Springer-Verlang, Berlin, 1979. (1979) MR0538623
  2. HALMOS P. R., Measure Theory, Van Nostrand, Reinhold, Toronto, 1950. (1950) Zbl0040.16802MR0033869
  3. KAPPOS D., Probability Algebras and Stochastic Spaces, Academic Press. New York, 1969. (1969) Zbl0196.18501MR0464339
  4. MANSFIELD R., The theory of Boolean ultrapowers, Ann. Math. Logic 2 (1971), 297-323. (1971) Zbl0216.29401MR0300887
  5. POTTHOLF K., Boolean ultrapowers, Arch. Math. Logic 16 (1974), 37-48. (1974) MR0347587
  6. SCOTT D., A proof of the independence of the Continuum hypothesis, Math. Systems Theory 2 (1967), 89-111. (1967) Zbl0149.25302MR0218233
  7. SCOTT D., Boolean models and non-standard analysis, In: Applications of Model Theory to Algebra, Analysis and Probability (W. A. J. Luxemburg, ed.). Holt. Reinhart & Winston 1969. (1969) MR0236002
  8. STROYAN K.-LUXEMBURG W. A. J., Introduction to the Theory of Infinitesimals, Academic Press, 1976. (1976) Zbl0336.26002MR0491163
  9. TAKEUTI G., Two Applications of Logic to Mathematics, Iwanami & Princeton Univ. Press, 1978. (1978) Zbl0393.03027MR0505474

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