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Cell-like mappings between CS sets

1984/01/01 by James P. Henderson · 1 citation
Biochemistry, Genetics and Molecular Biology · Immunology and Microbiology · Medicine · #Algorithm #Annotation #Apelin-related biomedical research #Artificial intelligence #Biology #Computer science #Phagocytosis and Immune Regulation #Type (biology) #Zebrafish Biomedical Research Applications

paper · pdf · doi:10.1090/s0002-9939-1984-0728366-4

published in Proceedings of the American Mathematical Society 90(3), 445-449 (American Mathematical Society)

openalex publication_date 1984/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/26

Abstract

A CS set is a certain type of stratified metric space. The structure of a CS set which is a generalized <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="n"> <mml:semantics> <mml:mi>n</mml:mi> <mml:annotation encoding="application/x-tex">n</mml:annotation> </mml:semantics> </mml:math> </inline-formula>-manifold is determined. A class of cell-like mappings between CS sets is defined, and it is shown that such a cell-like mapping with manifold image <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper M Superscript n"> <mml:semantics> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:msup> <mml:mi>M</mml:mi> <mml:mi>n</mml:mi> </mml:msup> </mml:mrow> <mml:annotation encoding="application/x-tex">Mn</mml:annotation> </mml:semantics> </mml:math> </inline-formula>, <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="n not-equals 4"> <mml:semantics> <mml:mrow> <mml:mi>n</mml:mi> <mml:mo>≠</mml:mo> <mml:mn>4</mml:mn> </mml:mrow> <mml:annotation encoding="application/x-tex">n ≠ 4</mml:annotation> </mml:semantics> </mml:math> </inline-formula>, is approximable by homeomorphisms.

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