6533b7dafe1ef96bd126e46f

RESEARCH PRODUCT

Uniformly Path Connected Homogeneous Continua

subject

uniformly path connectedhomogeneouscontinuumquasi-interior

description

It is proven that every path connected homogeneous continuum is uniformly path connected, which answers a question of David P. Bellamy. From this result it follows that every path connected homogeneous continuum is continuously equivalent either to an arc, or to the Cantor fan.

http://topology.auburn.edu/tp/reprints/v48/