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The Whitehead Square of the 6-point 2-sphere
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: K.A. Hardie P.J. WitbooiWe describe a model of the Whitehead square [ι 2, ι 2] ∈ π3(S 2) in the form of an order-preserving map from a 56-point model of S 3 into the minimal model of S 2 in the category of... -
The Uniform Order Convergence Structure on ML (X)
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: vanJ.H. der WaltThe aim of this paper is to set up appropriate uniform convergence spaces in which to reformulate and enrich the order completion method [18] for nonlinear Partial Differential Equations (PDEs). In this regard, we consider an appropriate space ML(X) of... -
Symmetric bi-derivations of lattices
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Yılmaz ÇevenIn this paper, we introduced the notion of symmetric bi-derivation on lattices and investigated some related properties. We characterized the distributive and modular lattices by symmetric bi-derivations. -
Some properties of conjunctivity (subfitness) in generalized settings
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: M. Andrew Moshier --- CECAT, Chapman University, USA Jorge Picado --- University of Coimbra, Portugal Aleš Pultr --- Charles University, Czech RepublicThe property of subfitness used in point-free topology (roughly speaking) to replace the slightly stronger T 1-separation, appeared (as disjunctivity) already in the pioneering Wallman’s [16], then practically disappeared to reappear again (conjunctivity, subfitness), until it was in the recent... -
On binary matrix properties
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Michael Hoefnagel --- Stellenbosch University, South Africa Pierre-Alain Jacqmin --- Université catholique de Louvain, Belgium Zurab Janelidze --- Stellenbosch University, South Africa Emil van der Walt --- Stellenbosch University, South AfricaThe so-called matrix properties of finitely complete categories are a special type of exactness properties that can be encoded as extended matrices of integers. The relation of entailment of matrix properties gives an interesting preorder on the set of such...