Evaluating $$ (a \wedge b)(c\wedge d)(e \wedge f)(g \wedge h) $$

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What is $$ (a \wedge b)(c\wedge d)(e \wedge f)(g \wedge h) $$ equal to?
 
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You need to define what space you are working in. Not necessarily because of the wedge, but the "products".
 
I am just asking like that
 
just to know how wedges act
 

Thread 'Injective immersion and embedding'

Hello! There is a simple line in the textbook. If ##S## is a manifold, an injectively immersed submanifold ##M## of ##S## is embedded if and only if ##M## is locally closed in ##S##. Recall the definition. M is locally closed if for each point ##x\in M## there open ##U\subset S## such that ##M\cap U## is closed in ##U##. Embedding to injective immesion is simple. The opposite direction is hard. Suppose I have ##N## as source manifold and ##f:N\rightarrow S## is the injective...
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