Charged spaces

DOI10.1515/FORUM-2013-0096zbMATH Open1326.55015arXiv1306.1753OpenAlexW3037321851MaRDI QIDQ494968

John W. Peter, John R. Klein

Publication date: 8 September 2015

Published in: Forum Mathematicum (Search for Journal in Brave)

Abstract: A charged space is a space equipped with two distinct base points. Such spaces arise as the unreduced suspension of an unbased space. More generally, one can work in the fiberwise setting over a fixed space B. A fiberwise charged space over B is a space X equipped with map to B and having two sections. One can ask whether or not a fiberwise charged space over B is a fiberwise suspension. We answer this question in a certain metastable range by producing a necessary and sufficient obstruction. As an application we show how this can be used to study when an embedding into a smooth manifold of the form N x I compresses to an embedding into N .

Full work available at URL: https://arxiv.org/abs/1306.1753

zbMATH Keywords

embeddingdualitysuspensionfiberwise

Mathematics Subject Classification ID

Embeddings in differential topology (57R40) Fibrewise topology (55R70) Algebraic topology on manifolds and differential topology (57R19) Suspensions (55P40)

Related Items (5)

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