1. f : X → Y is continuous bijection,
1。If X is compact then Y is compact.
Ⅱ. If X is Hausdorff space then Y is Hausdorff space.
Ⅲ. If X is compact and Y is Hausdorff space, then f−1 exist.
Which of them are correct?
看到有两个版本,另一个版本中Ⅱ是If Y is Hausdorff space then X is Hausdorff space.
1. f : X → Y is continuous bijection,
1。If X is compact then Y is compact.
Ⅱ. If X is Hausdorff space then Y is Hausdorff space.
Ⅲ. If X is compact and Y is Hausdorff space, then f−1 exist.
Which of them are correct?
看到有两个版本,另一个版本中Ⅱ是If Y is Hausdorff space then X is Hausdorff space.