Definition. Let (X,J) be a topological space. For Y c X, the collection Fy = {U | U = VnY for some V E T} is a topology on Y called the subspace topology. It is also called the relative topology on Y inherited from X. The space (Y, Ty) is called a (topological) subspace of X. If U E Ty we say U is open in Y. Theorem 3.25. Let (X,T) be a topological space and Y c X. Then the collection of sets Ty is in fact a topology on Y.

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A: Please comment if you need any clarification. If you find my answer useful please put thumbs…

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Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.