Part of the Graduate Texts in Mathematics book series (GTM, volume 47)
Piecewise linear homeomorphisms
Let K and L be complexes. We recall, from Section 0, that a homeomorphism
is piecewise linear (relative to K and L) if there is a subdivision K 1 of K such that for each σ ∈ K 1, f|σ maps σ linearly into a simplex of L. “PL” stands for piecewise linear, and “PLH” stands for PL homeomorphism, or PL homeomorphic. If K 1 is a subdivision of K, then we write K 1 < K.
$$f:|K| \leftrightarrow |L|$$
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© Springer Science+Business Media New York 1977