Geodesic
On bound of transfinite construction of inflationary fixed point
Vestnik Tverskogo gosudarstvennogo universiteta. Seriâ Prikladnaâ matematika, no. 3 (2018), pp. 72-80

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We consider inflationary fixed point operators which are not computable in finitely many steps. In this case we prove that for any ordinal $\alpha\leq\omega^\omega$ there exists an IFP-operator converging exactly in $\alpha$ steps. For discrete order there exists an IFP-operator which can converge exactly in $\alpha$ steps for any ordinal $\alpha$.
Keywords: inflationary fixed point, discrete order, transfinite construction. 
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     author = {S. M. Dudakov},
     title = {On bound of transfinite construction of inflationary fixed point},
     journal = {Vestnik Tverskogo gosudarstvennogo universiteta. Seri\^a Prikladna\^a matematika},
     pages = {72--80},
     publisher = {mathdoc},
     number = {3},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTPMK_2018_3_a4/}
}
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S. M. Dudakov. On bound of transfinite construction of inflationary fixed point. Vestnik Tverskogo gosudarstvennogo universiteta. Seriâ Prikladnaâ matematika, no. 3 (2018), pp. 72-80. http://geodesic.mathdoc.fr/item/VTPMK_2018_3_a4/