AnotherPlayArea

Here is a place to play with diagrams or other tex experiments.

If you want to make your own play page, simply edit this page, and add a link below:

EasyProofOfTychonoff

PropabilityTestPage

BlaBla

For instance HigherHomotopyPlayArea? is a link. If there is only a question mark, then the page has not yet been created. Click on the question mark to create the page.

Have fun, but play nice. This is a great way to learn basic latex interactively. I tried to include some basic examples below. -mowsey

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Here are some more mundane examples:

Here are some inline examples. A subset of a metric space is open if and only if given any point there is an such that whenever satisfies one must have that . That is, is open if and only if every point is interior to . Points are never restricted in their movement to and fro (for small distances), so such a set has a spacious or open feel to it.

If is a compact metric space, is a metric space, and is a continuous map from into , then is compact in .

Ye olde piecewise function

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This is an alternative universal diagram problem for a fibration. ?_{d} \\ &N \ar[r]?^{\pi_1} \ar[d]?^{\pi2} \ar@//@{..>}[ul]?_{s} & E \ar[d]?^{p} \\ &B^I \ar[r]?^{e_0} & B \\ } $" class="equation" src="images/1607116732.png" width="163" height="275"/>

An -module is injective if the top diagram can always be completed. An -module is projective if the bottom diagram can always be completed. All rows are assumed exact.

TorChase and TorChaseTwo? are examples of just pasting some LaTeX? on in here.