either

[see also: both]

In either case, it is clear that ...... [= In both cases]

Now equate the coefficients of $x^2$ at either end of this chain of equalities.

By Corollary 2, distinct 8-sets have either zero, two or four elements in common.

Each $f$ can be expressed in either of the forms (1) and (2).

The two classes coincide if $X$ is compact. In that case we write $C(X)$ for either of them.

Either $f$ or $g$ must be bounded.

Any map either has a fixed point, or sends some point to its antipode.

But $B$ is not divisible, hence $C$ cannot be divisible either.



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