A nonaspherical cell-like 2-dimensional simply connected continuum and related constructions

TL;DR

This paper demonstrates the existence of a 2-dimensional, nonaspherical, simply connected, cell-like continuum, and explores its relationship with Griffiths' space, contributing to the understanding of complex topological structures.

Contribution

It introduces a new example of a 2D nonaspherical simply connected cell-like continuum and discusses its connections to classical topological spaces.

Findings

Existence of a 2D nonaspherical simply connected cell-like continuum.

Relation between this continuum and Griffiths' space.

Insights into the topology of complex cell-like spaces.

Abstract

We prove the existence of a 2-dimensional nonaspherical simply connected cell-like Peano continuum (the space itself was constructed in one of our earlier papers). We also indicate some relations between this space and the well-known Griffiths' space from the 1950's.