Low stages of the Taylor tower for r-immersions

Bridget Schreiner; Franjo Sarcevic; Ismar Volic

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Low stages of the Taylor tower for r-immersions

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arxiv 1707.03048 v2 pith:G4NXZZEC submitted 2017-07-10 math.AT

Bridget Schreiner , Franjo Sarcevic , Ismar Volic This is my paper · ORCID

classification math.AT

keywords r-immersionstowertaylorassociatedbeginningcalculusconnectivitiesdescribe

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We study the beginning of the Taylor tower, supplied by manifold calculus of functors, for the space of r-immersions, which are immersions without r-fold self-intersections. We describe the first r layers of the tower and discuss the connectivities of the associated maps. We also prove several results about r-immersions that are of independent interest.

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