A simply connected space is path connected and has trivial fundamental group: every closed loop contracts to a point. The three-sphere is simply connected, whereas Real projective space has fundamental group .

Ancestors (6)

  1. Fundamental group
  2. Algebraic topology
  3. Geometry and topology
  4. Area of mathematics
  5. Mathematics
  6. Home

Synonyms (1)

View article source

Discussion (0)

New discussion

There are no discussions about this article yet.

Articles by others on the same topic (2)

Simply connected space by Wikipedia Bot 1
View more
In topology, a space is said to be **simply connected** if it is both path-connected and any loop (closed path) in the space can be continuously contracted to a point.
Read the full article
Simply connected space by Ciro Santilli 40 Updated 2025-07-16
Read the full article
See all articles in the same topic Create my own version