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Invariant Constructions of Simple and Maximal Sets
Author(s) -
Weber Frank P.
Publication year - 1995
Publication title -
mathematical logic quarterly
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.473
H-Index - 28
eISSN - 1521-3870
pISSN - 0942-5616
DOI - 10.1002/malq.19950410202
Subject(s) - mathematics , invariant (physics) , simple (philosophy) , combinatorics , discrete mathematics , pure mathematics , mathematical physics , epistemology , philosophy
The main results of the present paper are the following theorems: 1. There is no e ∈ ω such that for any A, B ⊆ ω, S A = W e Ais simple in A , and if A′ T B ′, then S A =* S B . 2 There is an e ∈ ω such that for any A, B ⊆ ω, M A = W e is incomplete maximal in A , and if A =* B , then M A T M B .