query: $\{1/2\}\times (1/2,1]$ is not open in the ordered square
positive_passages.docid: 150796
positive_passages.text: Subspace topology and order topology (2)
negative_passages.docid: 11259
negative_passages.text: Prove $R\times S$ is not an integral domain
negative_passages.docid: 38507
negative_passages.text: Show that $\mathbb{Q}\times \mathbb{Q}$ is denumerable
negative_passages.docid: 143586
negative_passages.text: Is $[0,1]$ a union of family of disjoint closed intervals?
negative_passages.docid: 57981
negative_passages.text: Alternative proof of $a\times0= 0$
negative_passages.docid: 43535
negative_passages.text: show that the interval of the form $[0,a)$ or $(a, 1]$ is open set in metric subspace $[0,1]$ but not open in $\mathbb R^1$
negative_passages.docid: 156498
negative_passages.text: Time ordering operator if commutator is $c$-number function
negative_passages.docid: 57269
negative_passages.text: A special bijection between $\mathbb{R}\times \mathbb{R}$ and $\mathbb{R}$
negative_passages.docid: 88442
negative_passages.text: Prove that there's no ordered basis $E$ in which $T{x\choose y}={0\choose y}$ can be represented as $1\ 2\choose 2\ 4$
negative_passages.docid: 106884
negative_passages.text: Is there a continuous bijection between an interval $[0,1]$ and a square: $[0,1] \times [0,1]$?
negative_passages.docid: 39455
negative_passages.text: Prove that $(X\times Y)\setminus (A\times B)$ is connected
negative_passages.docid: 93948
negative_passages.text: Is my proof correct? $p_1p_2p_3\cdots p_n+1)$ cannot be the square of an integer
negative_passages.docid: 10839
negative_passages.text: Problem in Cardinality and Order
negative_passages.docid: 55978
negative_passages.text: Prove that for every countable ordinal $\alpha$, $\alpha\times[0,1)$ is order isomoprhic to $[0,1)$
negative_passages.docid: 86105
negative_passages.text: Can $\{(f(t),g(t)) \mid t\in [a,b]\}$ cover the entire square $[0,1] \times [0,1]$ ?
negative_passages.docid: 1508
negative_passages.text: How do I prove that a definition of an ordered pair does not satisfy the required property?
negative_passages.docid: 13289
negative_passages.text: Order of Double Coset