answersLogoWhite

0

The set of odd whole numbers is neither open nor closed in the context of standard topology on the real numbers. In topology, a set is considered closed if it contains all its limit points; however, odd whole numbers do not include any even numbers or fractions, which means they do not contain limit points that approach them. Additionally, they are not an open set because there are no neighborhoods around any of the odd whole numbers that entirely consist of odd whole numbers.

User Avatar

AnswerBot

2mo ago

What else can I help you with?

Related Questions

What is the principle of closure math?

When you combine any two numbers in a set the result is also in that set. e.g. The set of whole numbers is closed with respect to addition, subtraction and multiplication. i.e. when you add, subtract or multiply two numbers the answer will always be a whole number. But the set of whole numbers is NOT closed with respect to division as the answer is not always a whole number e.g. 7÷5=1.4 The answer is not a whole number.


Which do you use an open circle or closed cirle for graphing inequalities?

A closed circle is when a range of numbers also includes that number and an open circle is when a range of numbers doesn't include that number, :)


What is the difference of an Open and closed circle number line?

With an open circle, the number at which the circle is is NOT included in the dataset; with a closed circle it is. For example if a line is drawn on the number line between 0.5 and 1.5 with a closed circle at 0.5 and an open circle at 1.5, then it represents the numbers between 0.5 and 1.5 including 0.5 but excluding 1.5; this range is the numbers which round to 1 to the nearest whole number.


Show me open and closed syllables?

"Show" is open, "and" is closed. O- is open, -pen is closed. "Closed" is closed.


What is open when its closed and closed when its open?

a construction site?


What you mean by open economy and closed economy?

By open economy it means that economy in which private people are allowed to participate in making economic decisions while,by closed economy it means the economy in which the government is the one planning for the whole society


What is the opposite of closing?

The opposite of the adjective closed is open. The opposite of the verb closed is opened.


Is solo an open syllable or closed?

Both open syllables.


What is a interval in math?

In mathematics, an interval is a set of numbers that contains all numbers between any two numbers in that set. Intervals can be classified as open (excluding the endpoints), closed (including the endpoints), or half-open (including one endpoint but not the other). For example, the interval [a, b] is closed and includes the endpoints a and b, while (a, b) is open and does not include them. Intervals are commonly used to represent ranges of values on the number line.


Is chilli's open New Year's Day?

Yes as a whole, but some stores may choose to be closed and/or have different hours based on a quick search for open info.


What are the 2 kinds of interval?

The two main kinds of intervals are open intervals and closed intervals. An open interval, denoted as (a, b), includes all numbers between a and b but excludes the endpoints a and b themselves. In contrast, a closed interval, denoted as [a, b], includes all numbers between a and b, including the endpoints a and b. There are also half-open or half-closed intervals, such as [a, b) or (a, b], which include one endpoint but not the other.


Is trouble open or closed syllable?

One open, one closed