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Transversals of squares
Published online by Cambridge University Press: 17 April 2009
Abstract
Let κ and λ be cardinal numbers. Take any family A = {Aν; ν ∈ N} where each Aν is a product Aν = Bν x Cν with |Bν = |Cν| = Nα, such that if B x CAμ x Aν (for μ ≠ ν) then |B|, |c| < λ. We investigate under what conditions on α, κ, λ and |N| there will be a set T with 1 ≤ |T∩Aν| < κ for each ν.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 7 , Issue 3 , December 1972 , pp. 353 - 358
- Copyright
- Copyright © Australian Mathematical Society 1972