MathOverflow is a question and answer site for professional mathematicians. 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

The space of direction at a point in an infinite dim Alexandrov space can be compact?Please give examples or prove it's wrong.

share|cite|improve this question

Yes, the space of direction of an infinite dim Alexandrov space can be compact at some point.

Take for example the pyramid with Hilbert cube as the base.

share|cite|improve this answer

Your Answer


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

Not the answer you're looking for? Browse other questions tagged or ask your own question.