0
prove that every metric space is hausdorff and first countable
What else can I help you with?
Is few countable or uncountable?
few is countable
Is soap a countable or uncountable noun?
countable
Is any second category space a Baire space?
Yes, any second category space is a Baire space. A topological space is considered to be of second category if it cannot be expressed as a countable union of nowhere dense sets. Baire spaces are defined by the property that the intersection of countably many dense open sets is dense. Therefore, since second category spaces avoid being decomposed into countable unions of nowhere dense sets, they satisfy the conditions to be classified as Baire spaces.
Is something that is finite always countable?
Yes, finite numbers are always countable.
Is Sheet a countable or uncountable noun?
The noun sheet is a countable noun. The plural form is sheets.
Prove that a finite cartesian product of countable sets is countable?
here is the proof: http://planetmath.org/encyclopedia/ProductOfAFiniteNumberOfCountableSetsIsCountable.html
How can you prove that the set of all languages that are not recursively enumerable is not countable?
One way to prove that the set of all languages that are not recursively enumerable is not countable is by using a diagonalization argument. This involves assuming that the set is countable and then constructing a language that is not in the set, leading to a contradiction. This contradiction shows that the set of all languages that are not recursively enumerable is uncountable.
How prove that the set of irrational numbers are uncountable?
Proof By Contradiction:Claim: R\Q = Set of irrationals is countable.Then R = Q union (R\Q)Since Q is countable, and R\Q is countable (by claim), R is countable because the union of countable sets is countable.But this is a contradiction since R is uncountable (Cantor's Diagonal Argument).Thus, R\Q is uncountable.
Is roof a countable?
countable
Are eggs countable?
countable
Is hill countable or countable noun?
The noun 'hill' is a countable noun. The plural form is 'hills'.
Cookies are countable or uncountable?
cookies are countable unless you have brain problems
Is marmalade countable or uncountable?
countable
Is shark countable or uncountable noun?
Shark is a countable noun.
Is Duck countable or un countable?
Duck as an animal is countable, but if you mean the meat it is uncountable.
Is prawns countable or uncountable noun?
Prawn - prawns is the plural - is a countable noun
Is few countable or uncountable?
few is countable
