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Low stages of
the Taylor tower for $r$-immersions
Bridget Schreiner, Franjo Šarčević and Ismar Volić
Vol. 13 (2020), No. 1, 51–75
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Abstract |
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We study the beginning of the Taylor tower, supplied by manifold calculus of functors, for the space of -immersions, which are immersions without -fold self-intersections. We describe the first layers of the tower and discuss the connectivities of the associated maps. We also prove several results about -immersions that are of independent interest. |
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Keywords
calculus of functors, manifold calculus, Taylor tower,
$r$-immersions, embeddings, immersions, configuration
space, subspace arrangement
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Mathematical Subject Classification 2010
Primary: 57R42
Secondary: 55R80, 57R40
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Milestones
Received: 13 November 2018
Revised: 9 September 2019
Accepted: 12 November 2019
Published: 4 February 2020
Communicated by Józef H. Przytycki
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Authors |
| Bridget Schreiner | |
| Department of Mathematics University of Notre Dame Notre Dame, IN United States |
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| Franjo Šarčević | |
| Department of Mathematics University of Sarajevo Bosnia and Herzegovina |
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| Ismar Volić | |
| Department of Mathematics Wellesley College Wellesley, MA United States |
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