blahblah8724
- 31
- 0
If the closure of a space C is connected, is C connected?
Is a Space Connected if Its Closure Is Connected?
- Context: Graduate
- Thread starter blahblah8724
- Start date
-
- Tags
- closure
Join the discussion
Ask a follow-up here, or get your own question answered by working scientists, mathematicians and engineers — people, not an autocomplete.
Real named experts · corrections over time · the nuance an AI answer skips
4 replies · 3K views
Physics news on Phys.org
- 22,170
- 3,335
What do you think?? Can you come up with a counterexample?? (this should suggest that the answer is no)
Tinyboss
- 244
- 0
What is the usual way to show that the circle is not homeomorphic to the real line?
- 1,089
- 10
Can you think of some dense subsets of the real line?
SteveL27
- 797
- 7
blahblah8724 said:If the closure of a space C is connected, is C connected?
There's a really easy counterexample. Just take the real line and ______ one single _______.
Similar threads
- Math Amateur
- · Replies 2 ·
- Topology and Analysis
- Replies
- 2
- psie
- · Replies 2 ·
- Topology and Analysis
- Replies
- 2
- psie
- · Replies 2 ·
- Topology and Analysis
- Replies
- 2
- Math Amateur
- · Replies 2 ·
- Topology and Analysis
- Replies
- 2
- facenian
- · Replies 3 ·
- Topology and Analysis
- Replies
- 3
- psie
- · Replies 2 ·
- Topology and Analysis
- Replies
- 2
Undergrad
Tough lemma on locally finite refinement
- Korybut
- · Replies 8 ·
- Topology and Analysis
- Replies
- 8
- Math Amateur
- · Replies 2 ·
- Topology and Analysis
- Replies
- 2
- victorvmotti
- · Replies 4 ·
- Topology and Analysis
- Replies
- 4
- victorvmotti
- · Replies 11 ·
- Topology and Analysis
- Replies
- 11