Abstract
This paper deals with two branches of combinatorial set theory, the partition calculus and the theory of Δ-systems. It presents a survey of some published work as well as some new results.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
F.P.Ramsey, On a problem of formal logic, Proc. London Math. Soc. (2) vol. 30 (1930), pp. 246–286.
P.Erdös, A.Hajnal and R.Rado, Partition relations for cardinal numbers, Acta Math. Hungarian Acad. Scient. vol. XVI (1965), pp. 93–196.
P.Erdös and R.Rado, Combinatorial theorems on classifications of subsets of a given set, Proc. London Math. Soc. (3) vol. 2 (1952), pp. 417–439.
______, A partition calculus in set theory, Bull. American Math. Soc. vol. 62 (1956), pp. 427–489.
_______, Intersection theorems for systems of sets, Journ. London Math. Soc. vol. 35 (1960), pp. 85–90.
_______, Intersection theorems for systems of sets (II), Journ. London Math. Soc. vol. 44 (1969), pp. 467–479.
P.Erdös, E.C.Milner and R.Rado, Intersection theorems for systems of sets (III), Journ. Australian Math. Soc. vol. XVIII (1974), pp. 22–40.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1977 D. Reidel Publishing Company, Dordrecht-Holland
About this paper
Cite this paper
Rado, R. (1977). Problems in Combinatorial Set Theory. In: Aigner, M. (eds) Higher Combinatorics. NATO Advanced Study Institutes Series, vol 31. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-1220-1_5
Download citation
DOI: https://doi.org/10.1007/978-94-010-1220-1_5
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-1222-5
Online ISBN: 978-94-010-1220-1
eBook Packages: Springer Book Archive