Countable Toronto spaces
Gary Gruenhage, J. Tatch Moore
Abstract
A space X is called an alpha-Toronto space if X is scattered of Cantor-Bendixson rank alpha and is homeomorphic to each of its subspaces of same rank. We answer a question of Steprans by constructing a countable alpha-Toronto space for each alpha<=omega. We also construct consistent examples of countable alpha-Toronto spaces for each alpha<omega1.
Create a lesson
Related papers
ChatGPT solved the dynamic construction problem of Malfatti circles
Kazushi Ahara
A topological view of algebraic structures in Cp(X)
Pratip Nandi, Soumajit Dey, Amrita Dey et al.
Complexity and Polishability of characterized subgroups on the unit circle
Paolo Leonetti
The reflective hull of the two-element chain in DCPO: properness, maximal Γ-faithfulness, and an internal reflection formula
Xulong He, Zhenchao Lyu, Yuxu Chen et al.
Menger and Rothberger games on convergence spaces
Renan Maneli Mezabarba, Rodrigo Santos Monteiro
Coincidence of dimensions for stratifiable spaces
I/M/Leibo