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how can I understand the difference between algebra, sigma algebra and topology

If I take the set A that contains a,b,c,d,e,f

the set C that contains A,phi,{a},{b,c,d,e,f}

then C is algebra on A

and C is sigma algebra on A

and (A,C) is topological space

is that true?

what is the difference ?

give me example like the obove to see the difference between them?

If I take the set A that contains a,b,c,d,e,f

the set C that contains A,phi,{a},{b,c,d,e,f}

then C is algebra on A

and C is sigma algebra on A

and (A,C) is topological space

is that true?

what is the difference ?

give me example like the obove to see the difference between them?

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