6533b855fe1ef96bd12b0870

RESEARCH PRODUCT

Filament sets and decompositions of homogeneous continua

Janusz R. PrajsJanusz R. PrajsKeith Whittington

subject

010102 general mathematicsMathematical analysisClassification scheme01 natural sciences010101 applied mathematicsProtein filamentHomogeneousContinuumFilamentHomogeneousGeometry and Topology0101 mathematicsInvariant (mathematics)Mathematics

description

Abstract This paper applies the concepts introduced in the article: Filament sets and homogeneous continua [J.R. Prajs, K. Whittington, Filament sets and homogeneous continua, Topology Appl. 154 (8) (2007) 1581–1591, doi:10.1016/j.topol.2006.12.005 ] to decompositions of homogeneous continua. Several new or strengthened results on aposyndesis are given. Newly defined decompositions are discussed. A proposed classification scheme for homogeneous continua is shown to be mostly invariant under Jones' aposyndetic decomposition.

yearjournalcountryeditionlanguage
2007-05-01Topology and its Applications
10.1016/j.topol.2007.01.012http://dx.doi.org/10.1016/j.topol.2007.01.012