We prove that the domain of a map X —> Y to a co-H-space inherits a coH-structure provided some dimensionality and connectivity properties hold. Then we deduce that a space X admits a co-H-structure if and only if on all its skeletons there is such a structure as well. Moreover, if X is 1-connected then a co-H-structure on X is equivalent to such a structure on all its homology decomposition stages.
The paper describes new approaches in computational cartography to assist online map portrayal e.g., in web map and location-based services. Such services demand increasing levels of flexibility to support portrayal operations such as the on-the-fly combination (conflation) of da
Let F∗(X,Y) be the space of base-point-preserving maps from a connected finite CW complex X to a connected space Y . Consider a CW complex of the form X∪αe and a space Y whose connectivity exceeds the dimension of the adjunction space. Using a Quillen–Sullivan mixed type model fo
The cohomology of the spaces of rational stable maps to flag varieties is generated by tautological classes. We study relations between the tautological generators. We conjecture that all relations between these generators are tautological, i.e. they are essentially obtained from
Let MapT (K, X) denote the mapping space of continuous based functions between two based spaces K and X. If K is a fixed finite complex, Greg Arone has recently given an explicit model for the Goodwillie tower of the functor sending a space X to the suspension spectrum Σ MapT (K,
Let MapT (K,X) denote the mapping space of continuous based functions between two based spaces K and X . If K is a fixed finite complex, Greg Arone has recently given an explicit model for the Goodwillie tower of the functor sending a space X to the suspension spectrum Σ MapT (K,
Let Map(K,X) denote the space of pointed continuous maps from a finite cell complex K to a space X. Let E∗ be a generalized homology theory. We use Goodwillie calculus methods to prove that under suitable conditions on K and X, Map(K,X) will send an E∗–isomorphism in either varia