Countable dimensionality and dimension raising cell-like maps

✍ Scribed by Jan J. Dijkstra; Jerzy Mogilski

• Book ID: 104295199
• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 526 KB
• Volume: 80
• Category: Article
• ISSN: 0166-8641
• DOI: 10.1016/s0166-8641(97)00006-0

✦ Synopsis

We show that countable dimensionality is not preserved under hereditary shape equivalences between complete spaces if such maps can make "arbitrarily large dimension jumps" inside the class of countably dimensional compacta.