Ueber unendliche, lineare Punktmannichfaltigkeiten

  title={Ueber unendliche, lineare Punktmannichfaltigkeiten},
  author={Georg Cantor},
  journal={Mathematische Annalen},

On the Onto-Epistemological Status of the Empty Set and the Pure Singleton

This article discusses the quiddity of the empty set from its epistemological and linguistic aspects. It consists of four parts. The first part compares the concept of nihil privativum and the empty

On the construction, properties and Hausdorff dimension of random Cantor one pth set

In 1883, German Mathematician George Cantor introduced Cantor ternary set which is a self-similar fractal. K. J. Falconer (1990) defined random Cantor set with statistical self-similarity. The

Dalle Serie Trigonometriche agli insiemi infiniti di punti

Cantor E L’infinito

Automatic Sets of Rational Numbers

This work develops a new notion — the k-automatic set of rational numbers — and proves basic properties of these sets, including closure properties and decidability.

Axiomatic Method and Category Theory

Lawvere’s axiomatization of topos theory and Voevodsky’s axiomatization of heigher homotopy theory exemplify a new way of axiomatic theory-building, which goes beyond the classical Hibert-style

On some problems of topological dimension theory

This survey is devoted to problems in dimension theory related to the works of Smirnov. New results concern the dimensions of subsets of manifolds. Under the continuum hypothesis we construct two