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Browsing Wellington Faculty of Science · Te Wahanga Putaiao by Subject "230101 Mathematical Logic, set Theory, Lattices and Combinatorics"

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Browsing Wellington Faculty of Science · Te Wahanga Putaiao by Subject "230101 Mathematical Logic, set Theory, Lattices and Combinatorics"

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  • Welsh, Michael (Victoria University of Wellington, 2011)
    Maximum-sized results are an important part of matroid theory, and results currently exist for various classes of matroids. Archer conjectured that the maximum-sized golden-mean matroids fall into three distinct classes, ...
  • Semple, Charles A (Victoria University of Wellington, 1998)
    The class of matroids representable over all fields is the class of regular matroids. The class of matroids representable over all fields except perhaps GF(2) is the class of near-regular matroids. Let k be a non-negative ...
  • Williams, Alan (Victoria University of Wellington, 2010)
    We show that for any 3-connected matroid M on a ground set of at least four elements such that M does not contain any 4-element fans, and any basis B of M, there exists a set K [is a subset of] E(M) of four distinct elements ...
  • Akishev, Galym (Victoria University of Wellington, 2009)
    The object of study of the thesis is the notion of monadic bounded algebras (shortly, MBA's). These algebras are motivated by certain natural constructions in free (first-order) monadic logic and are related to free monadic ...
  • Bura, Valentin B (Victoria University of Wellington, 2013)
    This thesis establishes new results concerning the proof-theoretic strength of two classic theorems of Ring Theory relating to factorization in integral domains. The first theorem asserts that if every irreducible is a ...
  • Wilkinson, Simon Oliver Fletcher (Victoria University of Wellington, 2003)
    Research undertaken for this thesis aimed to detect and identify stellar variability in the database of the Japan/New Zealand MOA collaboration. The database of stars collected by the MOA project provided an extensive ...
  • Clark, Ben (Victoria University of Wellington, 2011)
    A tangle of order k in a connectivity function λ may be thought of as a "k-connected component" of λ. For a connectivity function λ and a tangle in λ of order k that satisfies a certain robustness condition, we describe ...
  • Malcolm, Wilfred Gordon (Victoria University of Wellington, 1972)
    The programme of work for this thesis began with the somewhat genenal intention of parallelling in the context of higher order models the ultraproduct construction and its consequences as developed in the literature for ...

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