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SURREAL ORDERED EXPONENTIAL FIELDS [PDF]

open access: yesThe Journal of Symbolic Logic, 2021
AbstractIn 2001, the algebraico-tree-theoretic simplicity hierarchical structure of J. H. Conway’s ordered field${\mathbf {No}}$of surreal numbers was brought to the fore by the first author and employed to provide necessary and sufficient conditions for an ordered field (ordered$K$-vector space) to be isomorphic to an initial subfield ($K$-subspace ...
Ehrlich, Philip, Kaplan, Elliot
openaire   +3 more sources

Uniformly continuous 1-1 functions on ordered fields not mapping interior to interior [PDF]

open access: yesIranian Journal of Numerical Analysis and Optimization, 2008
In an earlier work we showed that for ordered fields F not isomorphic to the reals R, there are continuous 1-1 unctions on [0, 1]F which map some interior point to a boundary point of the image (and so are not open).
Mojtaba Moniri, Jafar S. Eivazloo
doaj   +1 more source

Sums and products of intervals in ordered semigroups

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021
We show a simple example for ordered semigroup 𝕊 = 𝕊 (+,⩽) that 𝕊 ⊆ℝ (ℝ denotes the real line) and ]a, b[ + ]c, d[ = ]a + c, b + d[ for all a, b, c, d ∈ 𝕊 such that a < b and c < d, but the intervals are no translation invariant, that is, the equation c +
Glavosits T., Karácsony Zs.
doaj   +1 more source

Research Progress in Ordered Nanomaterials via Magnetic Field Induced Preparation [PDF]

open access: yesE3S Web of Conferences, 2020
Ordered nanomaterials are widely concerned for their excellent performance in mechanics, electricity, optics and magnetism. Magnetic field induced self-assembly is widely used for the preparation of ordered nanomaterials, which has the advantages of ...
Liu Yunhao   +6 more
doaj   +1 more source

Proof of cantor’s continuum hypothesis [PDF]

open access: yesJournal of Hyperstructures, 2012
We shall attempt to prove Cantor’s General Continuum Hypothesis, a special case of which is known as the Continuum Hypothesis, namely that the cardinality of the power set of an infinite set is the consecutive cardinality. An ordered field of cardinality
J. Kurdics
doaj   +1 more source

Hidden magnetism uncovered in a charge ordered bilayer kagome material ScV6Sn6

open access: yesNature Communications, 2023
Charge ordered kagome lattices have been demonstrated to be intriguing platforms for studying the intertwining of topology, correlation, and magnetism. The recently discovered charge ordered kagome material ScV6Sn6 does not feature a magnetic groundstate
Z. Guguchia   +22 more
doaj   +1 more source

Extragalactic Magnetism with SOFIA (SALSA Legacy Program): The Magnetic Fields in the Multiphase Interstellar Medium of the Antennae Galaxies

open access: yesThe Astrophysical Journal Letters, 2022
Mergers are thought to be a fundamental channel for galaxy growth, perturbing the gas dynamics and the magnetic fields ( B -fields) in the interstellar medium (ISM).
Enrique Lopez-Rodriguez   +10 more
doaj   +1 more source

The fabulous destiny of Richard Dedekind

open access: yesAtti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, 2021
By using the preliminary results given in a previous divulgative note, we present here a concise and self--contained introduction to the construction of the real field as the unique, up to increasing isomorphism, Dedekind complete totally ordered field ...
Giuseppe Devillanova   +1 more
doaj   +1 more source

Field-induced gap in ordered Heisenberg antiferromagnets [PDF]

open access: yes, 2004
Heisenberg antiferromagnets in a strong uniform magnetic field $H$ are expected to exhibit a gapless phase with a global O(2) symmetry. In many real magnets, a small energy gap is induced by additional interactions that can be viewed as a staggered ...
F. Mila   +3 more
core   +1 more source

Monopole Josephson effects in a Dirac spin liquid

open access: yesPhysical Review Research, 2023
Dirac spin liquids (DSLs) are gapless featureless states, yet interesting by virtue of the effective field theory describing them—(2 + 1)-dimensional quantum electrodynamics (QED_{3}).
Gautam Nambiar   +2 more
doaj   +1 more source

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