Shore points of a continuum

Cut Points and End Points of a Continuum

The Classical continuum without Points

We develop a point-free construction of the classical onedimensional continuum, with an interval structure based on mereology and either a weak set theory or logic of plural quanti…cation. In some respects this realizes ideas going back to Aristotle, although, unlike Aristotle, we make free use of classical "actual in…nity". Also, in contrast to intuitionistic, Bishop, and smooth in…nitesimal a...

Systemic sclerosis and lupus: points in an interferon-mediated continuum.

OBJECTIVE To investigate peripheral blood (PB) cell transcript profiles of systemic sclerosis (SSc) and its subtypes in direct comparison with systemic lupus erythematosus (SLE). METHODS We investigated PB cell samples from 74 SSc patients, 21 healthy controls, and 17 SLE patients using Illumina Human Ref-8 BeadChips and quantitative polymerase chain reaction confirmation. None of the study p...

There Are No Stable Points for Continuum-Wise Expansive Homeomorphisms

Distribution of Rational Points: A Survey