Piecewise linear homeomorphisms

  • Edwin E. Moise
Part of the Graduate Texts in Mathematics book series (GTM, volume 47)


Let K and L be complexes. We recall, from Section 0, that a homeomorphism
$$f:|K| \leftrightarrow |L|$$
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.


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Copyright information

© Springer Science+Business Media New York 1977

Authors and Affiliations

  • Edwin E. Moise
    • 1
  1. 1.Department of MathematicsQueens College, CUNYFlushingUSA

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