Skip to main content
MathOverflow

Return to Question

added 99 characters in body
Source Link
Piotr Hajlasz
Piotr Hajlasz
  • 28k
  • 5
  • 85
  • 184

Question. Is there a $3$-dimensional integer homology sphere whose universal cover is $\mathbb{R}^3$?

I believe the answer is in the positive and I am looking for (precise) references. If not in dimension $3$, I would be happy with higher dimensional examples.

This question is related to my post: Linking topological spheres and also to the post Have examples of non-simple connected higher-dimensions integer homology sphere? (This link was provided by Ian Agol).

Question. Is there a $3$-dimensional integer homology sphere whose universal cover is $\mathbb{R}^3$?

I believe the answer is in the positive and I am looking for (precise) references. If not in dimension $3$, I would be happy with higher dimensional examples.

This question is related to my post: Linking topological spheres.

Question. Is there a $3$-dimensional integer homology sphere whose universal cover is $\mathbb{R}^3$?

I believe the answer is in the positive and I am looking for (precise) references. If not in dimension $3$, I would be happy with higher dimensional examples.

This question is related to my post: Linking topological spheres and also to the post Have examples of non-simple connected higher-dimensions integer homology sphere? (This link was provided by Ian Agol).

added 82 characters in body
Source Link
Piotr Hajlasz
Piotr Hajlasz
  • 28k
  • 5
  • 85
  • 184

Question. Is there a $3$-dimensional integer homology sphere whose universal cover is $\mathbb{R}^3$?

I believe the answer is in the positive and I am looking for (precise) references. If not in dimension $3$, I would be happy with higher dimensional examples.

This question is related to my post: Linking topological spheres.

Question. Is there a $3$-dimensional integer homology sphere whose universal cover is $\mathbb{R}^3$?

I believe the answer is in the positive and I am looking for (precise) references. If not in dimension $3$, I would be happy with higher dimensional examples.

Question. Is there a $3$-dimensional integer homology sphere whose universal cover is $\mathbb{R}^3$?

I believe the answer is in the positive and I am looking for (precise) references. If not in dimension $3$, I would be happy with higher dimensional examples.

This question is related to my post: Linking topological spheres.

Source Link
Piotr Hajlasz
Piotr Hajlasz
  • 28k
  • 5
  • 85
  • 184

Homology sphere with $\mathbb{R}^3$ as the universal cover

Question. Is there a $3$-dimensional integer homology sphere whose universal cover is $\mathbb{R}^3$?

I believe the answer is in the positive and I am looking for (precise) references. If not in dimension $3$, I would be happy with higher dimensional examples.