Topology

October 26, 2020 · Math Set-Theory
Math
Real Analysis Differential Geometry Linear Algebra Topology Set Theory General Concepts Bijective Function Injective Function Surjective Function Transitive …
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October 21, 2020 · Math Topology
Topological Space
An ordered pair $(X, \tau)$ , where $X$ is a set and $\tau$ is a collection of subsets of $X$ satisfying: The empty set ( $\emptyset$ ) and $X$ belong …
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October 21, 2020 · Math Topology
Open Balls
Let $(X, d)$ be a metric space. Let $a \in X$ and $\delta > 0$ . The subset of $X$ consisting of those points $x \in X$ such that \(d(a, x) < …
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October 21, 2020 · Math Topology
Neighborhood
The set of points surrounding a point $p$ in a set $V$ , such that $p \in \mathbb{R}^{n}$ , within a radius $\epsilon > 0$ See also: Open Balls
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October 21, 2020 · Math Topology
Metric Space
A set and a function which defines the distance between two points on that set An ordered pair $(X, d)$ , where $X$ is an arbitrary set and $d$ is a metric …
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October 21, 2020 · Math Topology
Locality (Math)
Locality refers to: A property $P$ , of a point $x$ , which holds true near every point around $x$ . As an example: A sphere (and, more generally, a …
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