6533b7d1fe1ef96bd125c2d3

RESEARCH PRODUCT

The terminal hyperspace of homogeneous continua

Janusz R. PrajsJanusz R. Prajs

subject

Discrete mathematicsDecompositionPure mathematicsReduction (recursion theory)Continuum (topology)TerminalStructure (category theory)IndecomposableHyperspaceIntrinsicTerminal (electronics)Tree-likeHomogeneousContinuumHomogeneousGeometry and TopologyIndecomposable moduleMathematics

description

Abstract We investigate the structure of the collection of terminal subcontinua in homogeneous continua. The main result is a reduction of this structure to six specific types. Three of these types are of one-dimensional spaces, and examples representing these types are known. It is not known whether higher dimensional examples having non-trivial terminal subcontinua and representing the three remaining types exist.

yearjournalcountryeditionlanguage
2010-02-01Topology and its Applications
10.1016/j.topol.2009.10.011http://dx.doi.org/10.1016/j.topol.2009.10.011