query: How to show the one point compactification of a space is unique up to homeomorphism?
positive_passages.docid: 148187
positive_passages.text: Question regarding one-point compactification and homeomorphisms
negative_passages.docid: 88736
negative_passages.text: How does the Axiom of Extensionality prove the uniqueness of Specified sets?
negative_passages.docid: 104881
negative_passages.text: Showing that two Banach spaces are homeomorphic when their dimensions are equal.
negative_passages.docid: 154837
negative_passages.text: mapping properties of $(1−z)^i$
negative_passages.docid: 63313
negative_passages.text: Uniqueness of Powerseries in an arbitrarily small neighborhood of $0$ in $\mathbb C$
negative_passages.docid: 20383
negative_passages.text: True or False: there is a space $X$ such that $S^1$ is homeomorphic to $X\times X$
negative_passages.docid: 131637
negative_passages.text: Real projective space is Hausdorff: is this proof correct?
negative_passages.docid: 39321
negative_passages.text: If $f:\mathbb R \to \mathbb R$ satisfies $f'(x) <L$ for some $L<1$, then $f$ has a unique fixed point
negative_passages.docid: 106606
negative_passages.text: How to prove that compact subspaces of the Sorgenfrey line are countable?
negative_passages.docid: 110744
negative_passages.text: How to prove that a compact set in a Hausdorff topological space is closed?
negative_passages.docid: 36237
negative_passages.text: Closed set mapped to itself in a compact Hausdorff space
negative_passages.docid: 95086
negative_passages.text: Homeomorphism is bijective
negative_passages.docid: 28391
negative_passages.text: Prove the compactness of a set B
negative_passages.docid: 50611
negative_passages.text: Question about Stone-Čech compactification
negative_passages.docid: 20547
negative_passages.text: Homeomorphism that maps given points to given points
negative_passages.docid: 51914
negative_passages.text: Show that $S$ is compact.
negative_passages.docid: 52014
negative_passages.text: Showing $(C[0,1], d_1)$ is not a complete metric space