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ORDER
2010
96views more  ORDER 2010»
13 years 6 months ago
On Homotopy Types of Alexandroff Spaces
Michal Jerzy Kukiela
ORDER
2010
96views more  ORDER 2010»
13 years 10 months ago
More Sublattices of the Lattice of Local Clones
We investigate the complexity of the lattice of local clones over a countably infinite base set. In particular, we prove that this lattice contains all algebraic lattices with at ...
Michael Pinsker
ORDER
2010
110views more  ORDER 2010»
13 years 10 months ago
The Complexity of Embedding Orders into Small Products of Chains
Embedding a partially ordered set into a product of chains is a classical way to encode it. Such encodings have been used in various fields such as object oriented programming or ...
Olivier Raynaud, Eric Thierry
ORDER
2010
71views more  ORDER 2010»
13 years 10 months ago
On Chains in H-Closed Topological Pospaces
Oleg Gutik, Dusan Pagon, Dusan Repovs
ORDER
2010
100views more  ORDER 2010»
13 years 10 months ago
Quantum Logic in Dagger Kernel Categories
This paper investigates quantum logic from the perspective of categorical logic, and starts from minimal assumptions, namely the existence of involutions/daggers and kernels. The ...
Chris Heunen, Bart Jacobs
ORDER
2010
65views more  ORDER 2010»
13 years 10 months ago
Dualities and Dual Pairs in Heyting Algebras
Jan Foniok, Jaroslav Nesetril, Ales Pultr, Claude ...
ORDER
2010
177views more  ORDER 2010»
13 years 10 months ago
Sharp and Meager Elements in Orthocomplete Homogeneous Effect Algebras
We prove that every orthocomplete homogeneous effect algebra is sharply dominating. Let us denote the greatest sharp element below x by x↓. For every element x of an orthocomple...
Gejza Jenca
ORDER
2010
70views more  ORDER 2010»
13 years 10 months ago
Lattices of Order-Convex Sets of Forests
Marina V. Semenova, Anna Zamojska-Dzienio
ORDER
2010
101views more  ORDER 2010»
13 years 10 months ago
Definability in Substructure Orderings, II: Finite Ordered Sets
Let P be the ordered set of isomorphism types of finite ordered sets (posets), where the ordering is by embeddability. We study first-order definability in this ordered set. We ...
Jaroslav Jezek, Ralph McKenzie
ORDER
2010
89views more  ORDER 2010»
13 years 10 months ago
On Order Types of Systems of Segments in the Plane
Let r(n) denote the largest integer such that every family C of n pairwise disjoint segments in the plane in general position has r(n) members whose order type can be represented ...
Andrew Suk