6533b7d9fe1ef96bd126ce7b
RESEARCH PRODUCT
Filament sets and homogeneous continua
Janusz R. PrajsJanusz R. PrajsKeith Whittingtonsubject
SubcategoryAmpleContinuum (topology)010102 general mathematicsMathematical analysisMathematics::General TopologySpace (mathematics)01 natural sciences010101 applied mathematicsProtein filamentQuantitative Biology::Subcellular ProcessesMathematics::Algebraic GeometryGeneral theoryHomogeneousContinuumFilamentHomogeneousGeometry and Topology0101 mathematicsIndecomposable moduleMathematicsdescription
Abstract New tools are introduced for the study of homogeneous continua. The subcontinua of a given continuum are classified into three types: filament , non-filament , and ample , with ample being a subcategory of non-filament. The richness of the collection of ample subcontinua of a homogeneous continuum reflects where the space lies in the gradation from being locally connected at one extreme to indecomposable at another. Applications are given to the general theory of homogeneous continua and their hyperspaces.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2007-04-01 | Topology and its Applications |