arXiv Open Access 2022

A Homotopy Theoretic Analogue to a Theorem of Wall

Sebastian Chenery

Lihat Sumber

Abstrak

It is a well-known result of C.T.C. Wall's that one may decompose a simply connected 6-manifold as a connected sum of two simpler manifolds. Recent work of Beben and Theriault on decomposing based loop spaces of highly connected Poincaré Duality complexes has yielded new methods for analysing the homotopy theory of manifolds. In this paper we will expand upon these methods, which we will then apply to prove a higher dimensional homotopy theoretic analogue to Wall's Theorem.

Topik & Kata Kunci

math.AT

Penulis (1)

Sebastian Chenery

Format Sitasi

APA MLA BibTeX

Chenery, S. (2022). A Homotopy Theoretic Analogue to a Theorem of Wall. https://arxiv.org/abs/2210.04548

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2022
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓