## Tag `004L`

Chapter 5: Topology > Section 5.2: Basic notions > Section 5.2

the open covering $\mathcal{V}$ is a refinementof the open covering $\mathcal{U}$ (if $\mathcal{V} : V = \bigcup_{j \in J} V_j$ and $\mathcal{U} : U = \bigcup_{i \in I} U_i$ this means each $V_j$ is completely contained in one of the $U_i$),

The code snippet corresponding to this tag is a part of the file `topology.tex` and is located in lines 81–88 (see updates for more information).

```
\item
\label{item-refinement}
the open covering $\mathcal{V}$ is a {\it refinement}
of the open covering $\mathcal{U}$ (if
$\mathcal{V} : V = \bigcup_{j \in J} V_j$ and
$\mathcal{U} : U = \bigcup_{i \in I} U_i$
this means each $V_j$ is completely contained in one of the $U_i$),
```

## Comments (1)

## Add a comment on tag `004L`

Your email address will not be published. Required fields are marked.

In your comment you can use Markdown and LaTeX style mathematics (enclose it like `$\pi$`

). A preview option is available if you wish to see how it works out (just click on the eye in the lower-right corner).

All contributions are licensed under the GNU Free Documentation License.

There are also 4 comments on Section 5.2: Topology.

There are also 4 comments on Section 5.2.