query: Find the fundamental group of torus with two points removed
positive_passages.docid: 64021
positive_passages.text: Fundamental group of a torus with points removed
negative_passages.docid: 119050
negative_passages.text: Fundamental group of $S^2$ with north and south pole identified
negative_passages.docid: 117151
negative_passages.text: Conformal automorphism of unit disk that interchanges two given points
negative_passages.docid: 83115
negative_passages.text: A set of elements in a reduced unity ring
negative_passages.docid: 55064
negative_passages.text: Homology groups of torus
negative_passages.docid: 128780
negative_passages.text: What does "removing a point" have to do with homeomorphisms?
negative_passages.docid: 44559
negative_passages.text: Finding a homeomorphism $\mathbb{R} \times S^1 \to \mathbb{R}^2 \setminus \{(0,0)\}$
negative_passages.docid: 131519
negative_passages.text: intuition on the fundamental group of $S^1$
negative_passages.docid: 154142
negative_passages.text: Finding a specific basis for an endomorphism
negative_passages.docid: 137761
negative_passages.text: Why are the fundamental and anti-fundamental representation in $\text{SL}(2,\mathbb{C})$ not equivalent?
negative_passages.docid: 33868
negative_passages.text: A transformation between two free group actions.
negative_passages.docid: 139850
negative_passages.text: Are the $C$-points of a simply connected algbraic group simply connected?
negative_passages.docid: 97177
negative_passages.text: Symmetry group of Tetrahedron
negative_passages.docid: 136287
negative_passages.text: Separate real and imaginary part of $\arccos(z)$
negative_passages.docid: 11000
negative_passages.text: Fundamental group of $\mathbb{R}^2 \setminus (\mathbb{Z} \times \{0\})$
negative_passages.docid: 12502
negative_passages.text: The center of a non-Abelian group of order 8
negative_passages.docid: 15586
negative_passages.text: Volume of the torus with an integral