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anonymous

  • one year ago

Let X be a topological space that satisfies the Kolmogorov axiom (T0) . Which of the following is not true about X?

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  1. anonymous
    • one year ago
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    @zzr0ck3r

  2. anonymous
    • one year ago
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    Any two different points of X have different closures X contains no indiscrete subspace consisting of two points X contains no indiscrete subspace consisting of more than one point X has an indiscrete subspace consisting of two points only

  3. zzr0ck3r
    • one year ago
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    what does it mean to be \(T_0\)?

  4. zzr0ck3r
    • one year ago
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    in layman's terms

  5. anonymous
    • one year ago
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    zeroth separation axiom

  6. zzr0ck3r
    • one year ago
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    what does that mean?

  7. anonymous
    • one year ago
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    if at least one of any two distinct points of a space has a neighborhood that does not contain the other of these points

  8. anonymous
    • one year ago
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    but i don't understand fully

  9. zzr0ck3r
    • one year ago
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    which part?

  10. anonymous
    • one year ago
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    because it looks like housdroff

  11. anonymous
    • one year ago
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    contain the other of these points

  12. anonymous
    • one year ago
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    i don't understand that statement

  13. anonymous
    • one year ago
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    contain the other of these points

  14. zzr0ck3r
    • one year ago
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    In hausdorff we have each element has a nbhd around it that does not intersect the other, this is a little less strong We have a nhbd around one of them that does not contain the other.

  15. zzr0ck3r
    • one year ago
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    I am going blowing with the fam, I will be back Go read about T_0 spaces Then remember closure means include boundary points, then make a statement about a set and its elements vs its boundary points

  16. anonymous
    • one year ago
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    ok sir, i will read that

  17. anonymous
    • one year ago
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    @zzr0ck3r

  18. anonymous
    • one year ago
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    about the last question. i think D is the answer. am i correct?

  19. zzr0ck3r
    • one year ago
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    why?

  20. zzr0ck3r
    • one year ago
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    What they want here is for you to explain why each option is or is not correct.

  21. anonymous
    • one year ago
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    but i read a page about the properties of that and D option was not among

  22. anonymous
    • one year ago
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    so, which option is correct?

  23. anonymous
    • one year ago
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    @zzr0ck3r

  24. anonymous
    • one year ago
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    @zzr0ck3r

  25. zzr0ck3r
    • one year ago
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    You are correct, I just wanted you do explain why. Saying you went to a website, and saw the properties is not the best reasoning.

  26. anonymous
    • one year ago
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    ok sir

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