MTH634 quiz no 3 2022 solution by taleemi markaz part 1
Автор: TALEEMI MARKAZ
Загружено: 2022-02-18
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MTH634 Quiz No.3 Part 1 with 100% accurate Solution.
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Quiz:
Metric topology induced by 𝒅(𝒙,𝒚)={■8(𝟎 𝒊𝒇 𝒙=𝒚@𝟏 𝒊𝒇 𝒙≠𝒚)┤ is called
Metric topology induced by 𝒅(𝒙,𝒚)=|𝒙−𝒚| on ℝ is called
Which of the following statement is true?
Every metric space is first countable.
Let 𝑿={𝟏,𝟐,𝟑,𝟒,𝟓,𝟔} and 𝝉={∅,{𝟏},{𝟐},{𝟏,𝟐},𝑿} be a topology on 𝑿, then the local base (𝑩_𝒙) of the point 𝒙=𝟏 is ________
Let 𝑿={𝟏,𝟐,𝟑,𝟒,𝟓,𝟔} and 𝝉={∅,{𝟏},{𝟐},{𝟏,𝟐},𝑿} be a topology on 𝑿, then the local base (𝑩_𝒙) of the point 𝒙=𝟐 is ________
Let 𝑿={𝟏,𝟐,𝟑,𝟒,𝟓,𝟔} and 𝝉={∅,{𝟑},{𝟒},{𝟑,𝟒},𝑿} be a topology on 𝑿, then which of the following is true?
Let 𝑿={𝟏,𝟐,𝟑,𝟒,𝟓,𝟔} and 𝝉={∅,{𝟑},{𝟒},{𝟑,𝟒},𝑿} be a topology on 𝑿, then which of the following is true?
Every topological space is first countable.
Which of the following statement is false?
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