Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. Join them; it only takes a minute:

Sign up
Here's how it works:
  1. Anybody can ask a question
  2. Anybody can answer
  3. The best answers are voted up and rise to the top

Given a class $\mathcal{C}$ of compact Hausdorff spaces which is closed under countable products and continuous images. Let $\kappa>\omega$ be a cardinal number. Consider the class $\mathcal{C}^\prime$ consisting of compact spaces produced by taking products of less than $\kappa$ spaces from the class $\mathcal{C}$. Must the class $\mathcal{C}^\prime$ be closed under continuous images?

share|cite|improve this question
1  
Any concrete examples where the hypothesis holds? – tomasz Jun 25 '12 at 13:25

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.