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6 changes: 3 additions & 3 deletions opetopic-play/app/views/docs/categories.scala.html
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Expand Up @@ -68,7 +68,7 @@ <h3 class="ui dividing header">Comparison with Baez-Dolan Opetopic Categories</h
in a model category. We think this makes the axiom reasonable
from a theoretical point of view. In compensation for this
strengthening of the axioms for a category, our definition of
universal properties are weaker that those given by Baez-Dolan.
universal properties are weaker than those given by Baez-Dolan.
We will show later that under this stronger definition of category,
we can recover the full strength of Baez-Dolan style universal cells.
</p>
Expand All @@ -82,9 +82,9 @@ <h3 class="ui dividing header">Comparison with Baez-Dolan Opetopic Categories</h
</div>
<div class="right menu">
<div class="item">
<a href="/docs/categories/categories" class="ui right labeled icon button">
<a href="/docs/theory/units" class="ui right labeled icon button">
<i class="right arrow icon"></i>
Next: Categories
Next: Identities and Units
</a>
</div>
</div>
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2 changes: 1 addition & 1 deletion opetopic-play/app/views/docs/complexes.scala.html
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Expand Up @@ -123,7 +123,7 @@ <h3 class="ui dividing header">Atomic Diagrams</h3>
edge tree.
</div>
<div class="item">
The box and edge trees are each <em>rooted</em>
The box and edge trees are each <em>rooted</em>.
</div>
</div>
</div>
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2 changes: 1 addition & 1 deletion opetopic-play/app/views/docs/eqvs.scala.html
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Expand Up @@ -113,7 +113,7 @@ <h3 class="ui dividing header">Proof: ⇒</h3>
@svg("eqvs/eta-tu.svg")

<p>
Futhermore, since η is a unary, target universal cell, we conclude
Furthermore, since η is a unary, target universal cell, we conclude
that it is an equivalence by the coinductive hypothesis.
</p>

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2 changes: 1 addition & 1 deletion opetopic-play/app/views/docs/geometry.scala.html
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Expand Up @@ -50,7 +50,7 @@ <h3 class="ui dividing header">Dimension 1</h3>
<h3 class="ui dividing header">Dimension 2</h3>

<p>
Dimension 2 becomes more intersting: we already have infinitely
Dimension 2 becomes more interesting: we already have infinitely
many opetopes of dimension two, one for each natural number
which counts the number of source arrows.
</p>
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2 changes: 1 addition & 1 deletion opetopic-play/app/views/docs/intro.scala.html
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Expand Up @@ -25,7 +25,7 @@ <h2 class="ui dividing header">Introduction</h2>
higher categories based on a collection of shapes called the
<em>opetopes</em>. It is probably fair to say that among the
currently available approaches to higher category theory, the
opeoptic one is the among least well known. This is not without
opetopic one is the among least well known. This is not without
some justification: indeed, finding a sufficiently rigorous
definition of the opetopes has occupied a number of different
authors, and the subtleties involved might leave one with the
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2 changes: 1 addition & 1 deletion opetopic-play/app/views/docs/opetopes.scala.html
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Expand Up @@ -111,7 +111,7 @@ <h3 class="ui header">Face</h3>
<p>
First of all, as you pass your mouse cursor over one of the cells,
you will notice that a number of lower dimensional cells are highlighted.
These are exactly the faces of the face you are pointing at. Futhermore
These are exactly the faces of the face you are pointing at. Furthermore
if you click on one of the faces, its opetopic structure will be
"extracted" into the bottom region, where you can verify that it also
is an opetope in the sense defined above.
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2 changes: 1 addition & 1 deletion opetopic-play/app/views/docs/srccoh.scala.html
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Expand Up @@ -80,7 +80,7 @@ <h3 class="ui dividing header">Proof</h3>
From here, you have a bit of work, but it seems pretty likely
that α and α-inv can be cancelled, resulting in just f and
β as the exterior. The result should now be that t, being
universal for this configuation admits a map to/from g ∘ γ.
universal for this configuration admits a map to/from g ∘ γ.
</p>

</div>
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