Embeddingof a finite CW-complex in a sphere

descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 1968 English Publisher:Springer Science and Business Media LLCJournal:Mathematical Notes of the Academy of Sciences of the USSR, volume 4, pages 891-894 (issn: 0001-4346, eissn: 1573-8876,

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Authors: Shapiro, Ya. N.;

doi: 10.1007/bf01110824

Embeddingof a finite CW-complex in a sphere

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Abstract

The following theorem is proven: for any finite CW-complex X of dimensionality n, no one can provide the Euclidean sphere of dimensionality (n+1) (n+2)/2 with a CW-complex structure such that X will turn out to be isomorphic to some subcomplex of this CW-complex.

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St Petersburg University
Russian Federation

Keywords

topology

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