PDF files of articles are only available for institutions which have paid for the online version upon signing an Institutional User License.

Filament local product structures in homogeneous continua

Volume 173 / 2023

Janusz R. Prajs Colloquium Mathematicum 173 (2023), 159-174 MSC: Primary 54F15; Secondary 54C65. DOI: 10.4064/cm8629-3-2023 Published online: 8 May 2023


This is a classifying study of homogeneous continua focused on decoding the structure of their neighborhoods. All non-locally-connected homogeneous continua have closed neighborhoods whose quotient space of components is homeomorphic to the Cantor set. Yet there are homogeneous non-locally-connected continua without neighborhoods homeomorphic to the product of a continuum and the Cantor set. The main result of this paper provides a useful criterion for identifying such neighborhoods. We show a number of applications of this result.


  • Janusz R. PrajsDepartment of Mathematics and Statistics
    California State University Sacramento
    Sacramento, CA 95819, USA
    Institute of Mathematics
    University of Opole
    45-052 Opole, Poland

Search for IMPAN publications

Query phrase too short. Type at least 4 characters.

Rewrite code from the image

Reload image

Reload image