# Differences

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topological_spaces [2010/07/29 15:46]
127.0.0.1 external edit
topological_spaces [2010/09/04 16:42] (current)
jipsen
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====Definition==== ====Definition====
-A \emph{topological space} is a structure $\mathbf{X}=\langle X,\tau\rangle$, where $\tau=\Omega(\mathbf{X})\subseteq P(X)$+A \emph{topological space} is a structure $\mathbf{X}=\langle X,\tau\rangle$,
+where $\tau=\Omega(\mathbf{X})\subseteq \mathcal P(X)$
is a collection of subsets of $X$ called the \emph{open sets of} $\mathbf{X}$ such that is a collection of subsets of $X$ called the \emph{open sets of} $\mathbf{X}$ such that
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$\mathcal{M}=$ embeddings. $\mathcal{M}=$ embeddings.
-\hyperbaseurl{http://math.chapman.edu/structures/files/}+
====Subclasses==== ====Subclasses====
[[T0-spaces]] [[T0-spaces]]
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====Superclasses==== ====Superclasses====
[[Sets]] [[Sets]]
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