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JOURNALS // Matematicheskie Zametki // Archive

Mat. Zametki, 2003 Volume 73, Issue 4, Pages 573–576 (Mi mzm205)

Domains of $t$-Functions

N. V. Litvinov

Shuya State Pedagogical University

Abstract: A nonempty and nonconstant partial recursive function such that any function resembling it is recursively isomorphic to it is called a $t$-function. It is proved that the domain of any $t$-function is neither a simple nor a pseudosimple set.

UDC: 517.11

Received: 03.07.2000

DOI: 10.4213/mzm205


 English version:
Mathematical Notes, 2003, 73:4, 536–538

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© Steklov Math. Inst. of RAS, 2026