query: Homeomorphism between positive rationals and non-negative rationals
positive_passages.docid: 157597
positive_passages.text: Homeomorphism between $\mathbb{Q}$ and $\mathbb{Q}(>0)$, and $\mathbb{Q}(\ge 0)$
negative_passages.docid: 84114
negative_passages.text: Does there exist a surjective homomorphism from $(\mathbb R,+)$ to $(\mathbb Q,+)$ ?
negative_passages.docid: 143140
negative_passages.text: When are quotients of homeomorphic spaces homeomorphic?
negative_passages.docid: 60485
negative_passages.text: Show that $S^1 - \lbrace (1,0)\rbrace$ is homeomorphic to the open interval $(0,1)$
negative_passages.docid: 70409
negative_passages.text: Rational Equivalence Relation and Measure
negative_passages.docid: 147350
negative_passages.text: Homeomorphism between $\prod X_i$ and the Cantor set
negative_passages.docid: 83446
negative_passages.text: bijective continuous function on $\mathbb R^n$ not homeomorphism?
negative_passages.docid: 10247
negative_passages.text: What is the minimum $ \sigma$-algebra that contains open intervals with rational endpoints
negative_passages.docid: 1117
negative_passages.text: Is there a bijection between $(0,1)$ and $\mathbb{R}$ that preserves rationality?
negative_passages.docid: 16228
negative_passages.text: Show that there is sequence of homeomorphism polynomials on [0,1] that converge uniformly to homeomorphism
negative_passages.docid: 20547
negative_passages.text: Homeomorphism that maps given points to given points
negative_passages.docid: 148187
negative_passages.text: Question regarding one-point compactification and homeomorphisms
negative_passages.docid: 160
negative_passages.text: homeomorphism non-example
negative_passages.docid: 45432
negative_passages.text: Showing that $f:(0,2\pi]\to S^1$ is not a homeomorphism
negative_passages.docid: 98436
negative_passages.text: Finite order endomorphisms
negative_passages.docid: 111689
negative_passages.text: Surjective, but not injective endomorphism
negative_passages.docid: 52798
negative_passages.text: Finding counterexamples: bijective continuous functions that are not homeomorphisms