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- W2022350201 abstract "A topological semilattice S is a Hausdorff space equipped with an associative binary operation which is jointly continuous and satisfies the equations xy = yx and x2 - x for all x, y. It is easy to see that x ^ y defined by xy = x is a partial order which is closed in S x 5, and we shall use L(x) = {y ES|y gjcjand M(x) = {y ES|y ^JC}. If M(x) is connected for each x E 5, then S is called an M-semilattice. The boundary of an rc-cell in n -space is denoted by B(In) or just B if there is no confusion, and / is the unit interval [0, 1]. Before we proceed to the theorems, we need some preliminary notions. If / : [0, l]n -» X is a continuous function into a space X such that f(B(In)) = p, then / goes homotopically to p (denoted by /—»p) if" @default.
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- W2022350201 date "1975-01-01" @default.
- W2022350201 modified "2023-10-05" @default.
- W2022350201 title "The boundary of a semilattice on ann-cell" @default.
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- W2022350201 doi "https://doi.org/10.2140/pjm.1975.56.171" @default.
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