Photo from wikipedia
Abstract In 1994, J. Cobb described a Cantor set in R 3 each of whose projections into 2-planes is one-dimensional. A series of works by other authors developing this field… Click to show full abstract
Abstract In 1994, J. Cobb described a Cantor set in R 3 each of whose projections into 2-planes is one-dimensional. A series of works by other authors developing this field followed. We present another very simple series of Cantor sets in R 3 all of whose projections are connected and one-dimensional. These are self-similar Cantor sets which go back to the work of Louis Antoine, and we celebrate their centenary birthday in 2020–2021.
Keywords:
new simple;
whose projections;
cantor;
cantor sets;
one dimensional;
sets whose
Journal Title: Topology and its Applications
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!
Journal Title: Topology and its Applications
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!