6533b837fe1ef96bd12a2026

RESEARCH PRODUCT

A non-g-contractible uniformly path connected continuum

Iwona KrzemińskaJanusz R. Prajs

subject

Connected spacePlane (geometry)Continuum (topology)HomotopyMathematics::General TopologyContractible spaceSurjective functionCombinatoricsContinuumUniformly path connected spaceGeometry and TopologyHomotopyg-contractibilityConstant (mathematics)Mathematics

description

Abstract An example of a uniformly path connected, plane continuum P is constructed and proved to admit no continuous surjection onto P homotopic to the constant map. This answers a question of D.P. Bellamy in the negative.

10.1016/s0166-8641(97)00194-6http://dx.doi.org/10.1016/S0166-8641(97)00194-6