query: A problem on general topology
positive_passages.docid: 27985
positive_passages.text: If $\tau_1, \tau_2,\tau_3$ then which are correct?
negative_passages.docid: 147961
negative_passages.text: Characterizing simply connected spaces
negative_passages.docid: 135256
negative_passages.text: The fiber of a covering space over a connected space has constant cardinality
negative_passages.docid: 101986
negative_passages.text: Prob. 2, Sec. 20 in Munkres' TOPOLOGY, 2nd ed: The dictionary order topology on $\mathbb{R} \times \mathbb{R}$ is metrizable.
negative_passages.docid: 78513
negative_passages.text: Show finite complement topology is, in fact, a topology
negative_passages.docid: 76428
negative_passages.text: Exercise $2.1.1$ - Differential Topology by Guillemin and Pollack
negative_passages.docid: 48557
negative_passages.text: Product of connected spaces
negative_passages.docid: 135025
negative_passages.text: Axiomatization of a Topology using the Boundary
negative_passages.docid: 125761
negative_passages.text: Is this proof for Theorem 16.4 Munkres Topology correct?
negative_passages.docid: 128481
negative_passages.text: Can two different topological spaces cover each other?
negative_passages.docid: 151051
negative_passages.text: connectedness of uniform topology
negative_passages.docid: 39010
negative_passages.text: Metrization of the cofinite topology
negative_passages.docid: 114856
negative_passages.text: Universal property of initial topology
negative_passages.docid: 46408
negative_passages.text: Show that the Hausdorff topology is unique in a finite set $X$
negative_passages.docid: 150987
negative_passages.text: Showing that the product and metric topology on $\mathbb{R}^n$ are equivalent
negative_passages.docid: 108864
negative_passages.text: Showing that two topologies give rise to the same topology
negative_passages.docid: 151719
negative_passages.text: Connected set in $\mathbb{S}^1$