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The simplicial EHP sequence in A1–algebraic topology

Publication ,  Journal Article
Wickelgren, K; Williams, B
Published in: Geometry and Topology
January 1, 2019

© 2019, Mathematical Sciences Publishers. All rights reserved. We give a tool for understanding simplicial desuspension in A1–algebraic topology: We show that X→Ω(S1∧ X) → Ω(S1∧ X∧ X) is a fiber sequence up to homotopy in 2–localized A1 algebraic topology for X = (S1)m∧ G∧qm with m > 1. It follows that there is an EHP spectral sequence (Formula Presented.)

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Published In

Geometry and Topology

DOI

EISSN

1364-0380

ISSN

1465-3060

Publication Date

January 1, 2019

Volume

23

Issue

4

Start / End Page

1691 / 1777

Related Subject Headings

  • Geological & Geomatics Engineering
  • 4904 Pure mathematics
  • 0101 Pure Mathematics
 

Citation

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Wickelgren, K., & Williams, B. (2019). The simplicial EHP sequence in A1–algebraic topology. Geometry and Topology, 23(4), 1691–1777. https://doi.org/10.2140/gt.2019.23.1691
Wickelgren, K., and B. Williams. “The simplicial EHP sequence in A1–algebraic topology.” Geometry and Topology 23, no. 4 (January 1, 2019): 1691–1777. https://doi.org/10.2140/gt.2019.23.1691.
Wickelgren K, Williams B. The simplicial EHP sequence in A1–algebraic topology. Geometry and Topology. 2019 Jan 1;23(4):1691–777.
Wickelgren, K., and B. Williams. “The simplicial EHP sequence in A1–algebraic topology.” Geometry and Topology, vol. 23, no. 4, Jan. 2019, pp. 1691–777. Manual, doi:10.2140/gt.2019.23.1691.
Wickelgren K, Williams B. The simplicial EHP sequence in A1–algebraic topology. Geometry and Topology. 2019 Jan 1;23(4):1691–1777.

Published In

Geometry and Topology

DOI

EISSN

1364-0380

ISSN

1465-3060

Publication Date

January 1, 2019

Volume

23

Issue

4

Start / End Page

1691 / 1777

Related Subject Headings

  • Geological & Geomatics Engineering
  • 4904 Pure mathematics
  • 0101 Pure Mathematics