Homotopy over and under
Homotopy sequences of fibrations
Hurewicz Theorems for Pairs and Squares.
Hybrid Reduced and Symmetric Product Spaces.
Idempotent Topological Groupoids with Non-Empty Center.
Incollamento di punti chiusi e gruppo fondamentale algebrico e topologico
Inverse limits of simplicial complexes
La structure des copolyèdres au sens de Stamm.
Les voisinages réguliers ouverts : critères homotopiques d'identification
Localization, Completion and detecting equivariant maps on Skeletons.
Mappings Into Loop Spaces and Central Group Extensions.
Measurable cardinals and fundamental groups of compact spaces
We prove that all groups can be realized as fundamental groups of compact spaces if and only if no measurable cardinals exist. If the cardinality of a group G is nonmeasurable then the compact space K such that G = π₁K may be chosen so that it is path connected.
Miller spaces and spherical resolvability of finite complexes
Let 𝒜 be a fixed collection of spaces, and suppose K is a nilpotent space that can be built from spaces in 𝒜 by a succession of cofiber sequences. We show that, under mild conditions on the collection 𝒜, it is possible to construct K from spaces in 𝒜 using, instead, homotopy (inverse) limits and extensions by fibrations. One consequence is that if K is a nilpotent finite complex, then ΩK can be built from finite wedges of spheres using homotopy limits and extensions by fibrations. This is applied...
N-determined 2-compact groups. I
This is the first part of a paper that classifies 2-compact groups. In this first part we formulate a general classification scheme for 2-compact groups in terms of their maximal torus normalizer pairs. We apply this general classification procedure to the simple 2-compact groups of the A-family and show that any simple 2-compact group that is locally isomorphic to PGL(n+1,ℂ) is uniquely N-determined. Thus there are no other 2-compact groups in the A-family than the ones we already know. We also...
Note on the gluing theorem for groupoids and Van Kampen's theorem
On a sequence of K. A. Hardie
On a theorem on the change of base point in a path connected space
On bijectivity of the canonical transformation
On c-continuous fundamental groups
On Embedded Spheres in 3-manifolds.