I'm having trouble understanding the definition of a Subspace/Induced/Relative Topology. The definitions I'm finding either don't define symbols well (at all).(adsbygoogle = window.adsbygoogle || []).push({});

If I understand correctly the definition is:

Given:

-topological space (A,[tex]\tau[/tex])

-[tex]\tau[/tex]={0,A,u_{1},u_{2},...u_{n}}

-subset B[tex]\subset[/tex]A

The subspace topology on B will be the intersection of B and every part of the topology of A

OR

[tex]\tau[/tex]_{B}={0,B,B[tex]\bigcap[/tex]u_{1},B[tex]\bigcap[/tex]u_{2},...B[tex]\bigcap[/tex]u_{n}}

...I apologize in advance for my LATEX work.

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# Subspace/induced/relative Topology Definition

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