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Tiltan and graphs with no infinite paths

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Abstract

We prove the consistency of tiltan with the positive relation \(\omega ^*\cdot \omega _1 \rightarrow (\omega ^*\cdot \omega _1,\text {infinite path})^2\).

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Notes

  1. Let us indicate that in some good old manuscripts the pronunciation is taltan see the relevant discussion in [14].

  2. We may assume, without loss of generality, that \(S\times {A}\subseteq {V}\).

  3. By a careful choice of A we may assume that \(t_m\ne t_{m+1}\).

  4. The adjective linked means that any two elements from \(A_\beta \cup A_\gamma \) are compatible.

  5. Recall that tiltan with the continuum hypothesis imply diamond.

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  1. Institute of Mathematics, The Hebrew University of Jerusalem, 91904, Jerusalem, Israel

    Shimon Garti

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  1. Shimon Garti
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Garti, S. Tiltan and graphs with no infinite paths. Period Math Hung 88, 137–147 (2024). https://doi.org/10.1007/s10998-023-00544-3

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