A question for stochastic calculus

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The symbol ^ in the context of Shreve's stochastic calculus book is identified as representing the logical conjunction operator. However, it may also denote the minimum function, specifically k^t meaning min(k,t), within the framework of partially ordered sets. This usage relates to the concept of infimum or the 'meet' of elements in such sets. The discussion highlights confusion over varying notations in mathematical texts, emphasizing the need for clarity. Understanding these symbols is crucial for comprehending stochastic calculus concepts effectively.
tennishaha
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The attachment is from Shreve's stochastic calculus book

In the attachment what does the symbol ^ mean?

Thanks
 

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It may be a wedge product, I am not sure :confused:
 
I've compared a couple of different books and it seems k^t means min(k,t) in this context. It is from the lattice of partially ordered set, and means infimum (greatest lower bound). Also known as the 'meet' of the elements in partially ordered set.
Someone should really clarify this please as I am getting curious as to why there are so many different notations and total disregard for the average mind
 
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