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We study self-homeomorphisms of zero dimensional metrizable compact Hausdorff spaces by means of the ordered first cohomology group, particularly in the light of the recent work of Giordano, Putnam, a...
A survey on Mselenijoint disease in South Africa involved the scoring ofpelvic X-rays of women to measure osteoporosis. The scores were ordinal by construction and ranged from 0 to 12. It is standard ...
An important well-known result of Rota describes the relationship between the M¨obius functions of two posets related by a Galois connection. We present an analogous result relating the antipodes of...
Sparse Covariance Estimation When Variables are Ordered.
An ordered partition of [n]={1, 2,..., n} is a partition whose blocks are endowed with a linear order. Let OPn,k be set of ordered partitions of [n] with k blocks and OPn,k(σ) be set of ordered partit...
The paper introduces the concept of noncommutative Banach spaces and obtains several fixed point theorems for continuous or discontinuous ordered contractive maps in ordered noncommutative Banach spac...
Abstract: A balanced pair in a finite ordered set $P=(V,\leq)$ is a pair $(x,y)$ of elements of $V$ such that the proportion of linear extensions of $P$ that put $x$ before $y$ is in the real interval...
RO-algebras are defined and studied. For RO-algebra T , using properties of partial order, it is established that the set of bounded elements can be endowed with C-norm. The structure of commutativ...
In many practical situations, we have a (partially) ordered set V of different values. For example, we may have the set of all possible values of temperature, or the set of all possible degrees of con...
An expository summary of properties of the poset of Dyck paths ordered by inclusion.
In 1907, Hans Hahn proved the remarkable fact that any ordered group can be embedded in an ordered real function space. This set the stage for work on ordered groups and fields, and this area receive...
We consider the ordered and disordered dynamics for monolayers of rolling self-interacting par- ticles with an o -set center of mass and a non-isotropic inertia tensor. The rolling constraint is cons...
I consider treatment of the self-energy effects in the functional renormalization group (fRG) schemes, which do not rely on the one-particle irreducible functional.
In this paper, for an algebra, weakly ordered multiplicative basis with weakly admissibleorder is introduced as an invariant under almost Morita equivalence and it is shown that an algebra with weakly...
A numerical approach based on the string method is developed to study nucleation of ordered phases in first order phase transitions. Among other things, this method allows an efficient computation of ...

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