Algebraic & Geometric Topology Volume 12, issue 1 (2012)

Loading [MathJax]/extensions/mml2jax.js

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN 1472-2739 (online)

ISSN 1472-2747 (print)

Other MSP Journals

Lusternik–Schnirelmann category and the connectivity of $X$

Nicholas A Scoville

Algebraic & Geometric Topology 12 (2012) 435–448

DOI: 10.2140/agt.2012.12.435

Bibliography

1	M Abramowitz, I A Stegun, editors, Handbook of mathematical functions with formulas, graphs, and mathematical tables, Dover (1992) MR1225604
2	M Arkowitz, Introduction to homotopy theory, , Springer (2011) MR2814476
3	O Cornea, G Lupton, J Oprea, D Tanré, Lusternik–Schnirelmann category, 103, Amer. Math. Soc. (2003) MR1990857
4	L Fernández-Suárez, A Gómez-Tato, J Strom, D Tanré, The Lusternik–Schnirelmann category of Sp(3), Proc. Amer. Math. Soc. 132 (2004) 587 MR2022385
5	R Nendorf, N Scoville, J Strom, Categorical sequences, Algebr. Geom. Topol. 6 (2006) 809 MR2240916
6	J Oprea, J Strom, Mixing categories, Proc. Amer. Math. Soc. 139 (2011) 3383 MR2811292
7	G J Porter, Higher-order Whitehead products, Topology 3 (1965) 123 MR0174054
8	H E Salzer, The approximation of numbers as sums of reciprocals, Amer. Math. Monthly 54 (1947) 135 MR0020339
9	N A Scoville, Mapping cone sequences and a generalized notion of cone length, JP J. Geom. Topol. 11 (2011) 209
10	D Stanley, Spaces and Lusternik–Schnirelmann category n and cone length n + 1, Topology 39 (2000) 985 MR1763960
11	D Stanley, H Rodríguez Ordóñez, A minimum dimensional counterexample to Ganea’s conjecture, Topology Appl. 157 (2010) 2304 MR2670507
12	H Toda, Composition methods in homotopy groups of spheres, 49, Princeton Univ. Press (1962) MR0143217