Higher fundamental functors for simplicial sets
Higher homotopy commutativity in localized groups.
Higher monodromy.
Homological properties of non-deterministic branchings of mergings in higher dimensional automata.
Homotopy and homology in pretopological spaces
Homotopy classification of nanophrases with at most four letters
We give a homotopy classification of nanophrases with at most four letters. It is an extension of the classification of nanophrases of length 2 with at most four letters, given by the author in a previous paper. As a corollary, we give a stable classification of ordered, pointed, oriented multi-component curves on surfaces with minimal crossing number less than or equal to 2 such that any equivalent curve has no simply closed curves in its components.
Homotopy dimension and simple cohomological dimension of spaces.
Homotopy for small multifunctions
Homotopy Lie algebras and Poincaré series of algebras with monomial relations.
Homotopy Nilpotency and Localization.
Homotopy properties of pathwise connected continua
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...
Homotopy-equivariance.
Hopf's extension theorem in the theory of shape