A Cech-Hurewicz Isomorphism Theorem for Movable Metric Compacta.
Algebraic colimit calculations in homotopy theory using fibred and cofibred categories.
Coherent prohomotopical algebra
Coherent prohomotopy theory
Crossed modules in and a Brown-Spencer theorem for -categories
Eine Verallgemeinerung eines Satzes von N. Kuiper.
Equivariant Cohomology and Stable Cohomotopy.
Ex-homotopy theory
Homomorphism between Homotopy groups induced by elements of the sobolev space L1, p (M, N).
Homotopies of small categories
Homotopy Decompositions of Equivariant Function Spaces. II. Function Spaces of Equivariantly Triangulated Spaces.
Homotopy groups of small categories and derived functors
Homotopy theory of the master equation package applied to algebra and geometry: a sketch of two interlocking programs
Using the algebraic theory of homotopies between maps of dga's we obtain a homotopy theory for algebraic structures defined by collections of multiplications and comultiplications. This is done by expressing these structures and resolved versions of them in terms of dga maps. This same homotopy theory of dga maps applies to extract invariants beyond homological periods from systems of moduli spaces that determine systems of chains that satisfy master equations like dX + X*X = 0. Minimal models of...
L’espace classifiant de la -théorie algébrique
Multiplication is Discontinuous in the Hawaiian Earring Group (with the Quotient Topology)
The natural quotient map q from the space of based loops in the Hawaiian earring onto the fundamental group provides a naturally occuring example of a quotient map such that q × q fails to be a quotient map. With the quotient topology, this example shows π₁(X,p) can fail to be a topological group if X is locally path connected.
On Postnikov pieces of finite dimension.
On the fundamental group of a mapping space. An example
On the Homotopy Properties of Thom Complexes.
On the homotopy type of and connected problems
This paper reports on some results concerning:a) The homotopy type of the group of diffeomorphisms of a differentiable compact manifold (with -topology).b) the result of the homotopy comparison of this space with the group of all homeomorphisms Homeo (with -topology). As a biproduct, one gets new facts about the homotopy groups of , and about the number of connected components of the space of topological and combinatorial pseudoisotopies.The results are contained in Section 1 and Section...
Products between homotopy groups