diff --git a/spaces/S000139/README.md b/spaces/S000139/README.md index 769f2d3a3..7403b26b1 100644 --- a/spaces/S000139/README.md +++ b/spaces/S000139/README.md @@ -4,7 +4,7 @@ name: Countable bouquet of circles aliases: - $\mathbb R$ with $\mathbb Z$ collapsed to a point - Countable wedge sum of circles -- Rose with countably infinite petals +- Rose with countably many petals refs: - mathse: 4844916 name: Answer to "Can a Fréchet-Urysohn hemicompact Hausdorff space fail to be locally compact?" @@ -19,4 +19,5 @@ Let $X=\mathbb R/\mathbb Z$ to be the quotient of $\mathbb R$ (with its Euclidea Alternatively, this space can be characterized as the *wedge sum* (see {{wikipedia:Wedge_sum}}) of countably-many circles, also known as a *bouquet of countably many circles*. + Not to be confused with {S201}, which has a coarser topology. diff --git a/spaces/S000201/README.md b/spaces/S000201/README.md index 56048c71c..2ff4fa9ea 100644 --- a/spaces/S000201/README.md +++ b/spaces/S000201/README.md @@ -9,6 +9,10 @@ refs: name: Hawaiian earring on Wikipedia - zb: "0951.54001" name: Topology (Munkres) +- zb: "1044.55001" + name: Algebraic Topology (Hatcher) +- doi: 10.1007/978-1-4612-4576-6 + name: An Introduction to Algebraic Topology (Rotman) --- The subspace of {S176} defined by @@ -20,5 +24,5 @@ integers $n$. Not to be confused with {S139}, which has a finer topology. -Defined as "infinite earring" in section 71 of {{zb:0951.54001}}. -Appears as Example 1.25 in {{zb:1044.55001}} (available [here](https://pi.math.cornell.edu/~hatcher/AT/ATpage.html)) under the name "Shrinking wedge of circles"; however, note that it is not actually an example of a "wedge sum" as defined in e.g. {{wikipedia:Wedge_sum}}, {{doi:10.1007/978-1-4612-4576-6}}. +Defined as "infinite earring" in section 71 of {{zb:0951.54001}}; usually known in the literature as "Hawaiian earring". +Appears as Example 1.25 in {{zb:1044.55001}} (available [here](https://pi.math.cornell.edu/~hatcher/AT/ATpage.html)) under the name "Shrinking wedge of circles"; however, note that it is not actually an example of a "wedge sum" as defined in e.g. {{wikipedia:Wedge_sum}} or {{doi:10.1007/978-1-4612-4576-6}}.