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            <title>MTH251: Set Topology (Spring 25)</title>
            <link>https://www.mathcity.org/atiq/sp25-mth251</link>
            <description>MTH251: Set Topology (Spring 25)

[MTH251 Set Topology]

Set topology is a branch of mathematics that studies the properties of shapes and spaces that remain unchanged even if they are stretched, twisted, or deformed (without tearing or gluing). It helps us understand concepts like continuity, connectedness, and boundaries.$\mathbb{R}$$T_1$$\mathbb{Z}$$A=\{1,2,3,...,20\}$$\mathbb{R}$$\mathbb{Q}$$\mathbb{R}$$A=\left\{1,\frac{1}{2},\frac{1}{3},... \right\}$$A$$\mathbb{R}$$A=\mathbb{N}$$B=\{1,2,3,.…</description>
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            <pubDate>Tue, 29 Apr 2025 10:10:47 +0000</pubDate>
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            <title>MTH251: Set Topology (Spring 18)</title>
            <link>https://www.mathcity.org/atiq/sp18-mth251</link>
            <description>MTH251: Set Topology (Spring 18)

[Set Topology]
Topology is an important branch of mathematics that studies all the “qualitative” or “discrete” properties of continuous objects such as manifolds, i.e. all the properties that aren&#039;t changed by any continuous transformations except for the singular (infinitely extreme) ones.$\mathbb{R}$$T_1$$\mathbb{Z}$$A=\{1,2,3,...,20\}$$\mathbb{R}$$\mathbb{Q}$$\mathbb{R}$$A=\left\{1,\frac{1}{2},\frac{1}{3},... \right\}$$A$$\mathbb{R}$$A=\mathbb{N}$$B=\{1,2,3,.…</description>
            <author>anonymous@undisclosed.example.com (Anonymous)</author>
            <pubDate>Fri, 07 Feb 2025 11:25:49 +0000</pubDate>
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