A map X -- IR from a space X is said to be locally constant if for each x E X there is some open set U with x E U and flU constant. Prove that if X is connected then every locally constant map f : X -- IR is constant. [s this still true if IR is replaced by an arbitrary topological space

these sign is used to tell weather the number is greater or less than the number   <   or >     but this sign means its equal =    

hope this you and

step-by-step explanation:

b.-4 units

all you   do is count how many times you move

whole numbers.

step-by-step explanation:

we are given the average monthly rainfall (in millimeters) model r(m) for the years 1900-2009 as a function of the month number m.

as we can see m is taken for the number of months for years 1900-2009.

we know that number of months can't be a negative number or decimal number or a fraction.

so, the number of months could be only positive whole numbers.

therefore, whole numbers is more appropriate for the domain of r.