7 citations · 24 across the 10 of their papers we have counts for
10 papers
Finite-dimensional spaces in resolving classes
Jeffrey Strom
Using the theory of resolving classes, we show that if is a CW complex of finite type such that $\map_*(X, S^{2n+1})\sim *$ for all sufficiently large , then $\map_*(X, K) \…
Idempotent functors that preserve cofiber sequences and split suspensions
Jeffrey Strom
We show that an -localization functor commutes with cofiber sequences of -connected finite complexes if and only if its restriction to the collection of -con…
A simple homotopy-theoretical proof of the Sullivan conjecture
Jeffrey Strom
We give a new proof, using comparatively simple techniques, of the Sullivan conjecture: the space of pointed maps from the classifying space of the cyclic group of order to any…
Categorical sequences
Rob Nendorf, Nick Scoville, Jeffrey Strom
We define and study the categorical sequence of a space, which is a new formalism that streamlines the computation of the Lusternik-Schnirelmann category of a space X by induction…
Implications of the Ganea Condition
Norio Iwase, Donald Stanley, Jeffrey Strom
Suppose the spaces X and X cross A have the same Lusternik-Schnirelmann category: cat(X cross A)= cat(X). Then there is a strict inequality cat(X cross (A halfsmash B)) < cat (X) +…
The cone length and category of maps: pushouts, products and fibrations
Martin Arkowitz, Donald Stanley, Jeffrey Strom
For any collection of spaces A, we investigate two non-negative integer homotopy invariants of maps: l_A(f), the A-cone length of f, and L_A(f), the A-category of f. When A is the…