# Some connections between measure, indiscernibility and representation of cuts

Commentationes Mathematicae Universitatis Carolinae (1990)

- Volume: 031, Issue: 4, page 751-763
- ISSN: 0010-2628

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topKalina, Martin, and Zlatoš, Pavol. "Some connections between measure, indiscernibility and representation of cuts." Commentationes Mathematicae Universitatis Carolinae 031.4 (1990): 751-763. <http://eudml.org/doc/17896>.

@article{Kalina1990,

author = {Kalina, Martin, Zlatoš, Pavol},

journal = {Commentationes Mathematicae Universitatis Carolinae},

keywords = {alternative set theory; cuts of classes; Loeb measure; Lebesgue measure; indiscernibility equivalence; generalised nearness; cuts of natural numbers; Borel class; real classes; normal ring},

language = {eng},

number = {4},

pages = {751-763},

publisher = {Charles University in Prague, Faculty of Mathematics and Physics},

title = {Some connections between measure, indiscernibility and representation of cuts},

url = {http://eudml.org/doc/17896},

volume = {031},

year = {1990},

}

TY - JOUR

AU - Kalina, Martin

AU - Zlatoš, Pavol

TI - Some connections between measure, indiscernibility and representation of cuts

JO - Commentationes Mathematicae Universitatis Carolinae

PY - 1990

PB - Charles University in Prague, Faculty of Mathematics and Physics

VL - 031

IS - 4

SP - 751

EP - 763

LA - eng

KW - alternative set theory; cuts of classes; Loeb measure; Lebesgue measure; indiscernibility equivalence; generalised nearness; cuts of natural numbers; Borel class; real classes; normal ring

UR - http://eudml.org/doc/17896

ER -

## References

top- Čuda K., Nestandardní teorie polomnožin, Praha, CSc.-thesis.
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- Čuda K., Measurement, in: J. Mlček et al. (ed.), Proceedings of the 1st Symposium Mathematics in the Alternative Set Theory, Association of Slovak Mathematics and Physicists, Bratislava, pp. 121-131.
- Čuda K., Vopěnka P., Real and imaginary classes in the Alternative Set Theory, Comment. Math. Univ. Carolinae 20 (1979), 639-653. (1979) MR0555180
- Kalina M., Zlatoš P., Arithmetic of cuts and cuts of classes, Comment. Math. Univ. Carolinae 29 (1988), 435-456. (1988) MR0972828
- Kalina M., Zlatoš P., Cuts of real classes, Comment. Math. Univ. Carolinae 30 (1989), 129-136. (1989) MR0995711
- Kalina M., Zlatoš P., Borel Classes in AST. Measurability, cuts and equivalence, Comment. Math. Univ. Carolinae 30 (1989), 357-372. (1989) MR1014135
- Loeb P. A., Conversion from nonstandard to standard measure spaces and applications in probability theory, Trans. AMS 211, 113-122. Zbl0312.28004MR0390154
- Raškovič M., Measure and integration in the Alternative Set Theory, Publications de'l Institut Math. 29 (43), 191-197. MR0657107
- Sochor A., Addition of initial segments I, Comment. Math. Univ. Carolinae 29 (1988), 501-517. (1988) Zbl0658.03030MR0972833
- Vopěnka P., Mathematics in the Alternative Set Theory, Teubner, Leipzig 1979. (1979) MR0581368

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