contact us

Representing Quasi-Orders by Embeddability Ordering of Families of Topological Spaces

Proceedings of the American Mathematical Society / v.127 no.5. 1999, pp.1275-1279

Author :

Abstract : An elementary argument constructs, for each cardinal $\alpha $ , a topological space whose subspaces, ordered by homeomorphic embeddability, can model every partial order on $\alpha $ -many points. We show how to modify this procedure to deal also with quasi-orders (where the antisymmetry condition may fail), obtaining an initial estimate of the cardinality of the space then required.

Keyword : Primary 06A06, 54H10 . Partial order . Quasi-order . Ordering by embeddability

On Swan Conductors for Brauer Groups of Curves Over Local Fields

For an element w of the Brauer group of a curve over a local field, we define the Swan conduc..

The Ideal of Polynomials Vanishing on a Commutative Ring

We determine equivalent conditions on a commutative Artinian ring S in order that the ideal o..

Conical Limit Set and Poincare Exponent for Iterations of Rational Functions

We contribute to the dictionary between action of Kleinian groups and iteration of rational f..

A Gauss-Kusmin Theorem for Optimal Continued Fractions

A Gauss-Kusmin theorem for the Optimal Continued Fraction (OCF) expansion is obtained. In ord..

Local Tomography with Nonsmooth Attenuation

Local tomography for the Radon transform with nonsmooth attenuation is proposed and justified..

Simple Families of Thue Inequalities

We use the hypergeometric method to solve three families of Thue inequalities of degree 3, 4 ..

Criteria of Algebraic Independence with Multiplicities and Interpolation Determ..

We generalize Gelfonds criterion of algebraic independence by taking into account the values ..

The treatment of movement disorders using Gamma Knife stereotactic radiosurgery..

In this era of modern neurosurgery, we are able to provide adequate amelioration of disabling s..

The role of radiosurgery for glial neoplasms.

Malignant gliomas are one of the most serious challenges in clinical neurosurgery. Despite adva..

Radiosurgery for brain metastases.

Brain metastases represent the most common intracranial neoplasm, and they have become the most..