AbstractLet Fι↪Ef↠B be a fibration, we focus on the relation between the homotopy invariants catE, catF and catB. The general formula due to Hardie says that catE⩽(catι+1)·(catf+1)−1; if the fibration is trivial, this upper bound can be replaced by catF+catB. In this paper, we introduce a notion of k-triviality and construct upper bound for catE in terms of k, catι and catf
We construct an explicit semifree model for the fiber join of two fibrations p: E → B and p′: E′→ ...
AbstractIn this paper, we answer a question of Ganea proving that there exists a space X, without ho...
AbstractLet F→iE→pB be a fibration and let f: W→E be such that pf is homotopically trivial. Then p n...
Let F (iota)--> E (f)--> B be a fibration, we focus on the relation between the homotopy invariants ...
AbstractWe introduce a sequence of numerical homotopy invariants σicat,i∈N , which are lower bounds ...
AbstractGiven two continuous maps f:X→Y and g:W→Z between simply connected CW-complexes of finite ty...
AbstractIn this paper we make explicit the relationship between the category of a connected CW compl...
AbstractIf F→E→B is a fibration, a classical result of Varadarajan asserts that catE⩽catF+catB(catF+...
AbstractThe thesis lays foundations for a topological, homotopical, and homological methodology in t...
AbstractWe prove that, for every decreasing sequence {ak} of natural numbers, there exists a map f:X...
Let M be a topological monoid with homotopy group completion ΩBM. Under a strong homotopy commutativ...
AbstractThere is a problem with the proof of Theorem 1.13 of Iwase and Sakai (2010) [2] which states...
AbstractA category is described whose objects are pairs in the sense of Eckmann and Hilton. The set ...
AbstractWe establish an explicit, algebraic, one-to-one correspondence between the ⁎-homomorphisms, ...
AbstractWe define the homotopy theory for topological semigroups and study some of its basic propert...
We construct an explicit semifree model for the fiber join of two fibrations p: E → B and p′: E′→ ...
AbstractIn this paper, we answer a question of Ganea proving that there exists a space X, without ho...
AbstractLet F→iE→pB be a fibration and let f: W→E be such that pf is homotopically trivial. Then p n...
Let F (iota)--> E (f)--> B be a fibration, we focus on the relation between the homotopy invariants ...
AbstractWe introduce a sequence of numerical homotopy invariants σicat,i∈N , which are lower bounds ...
AbstractGiven two continuous maps f:X→Y and g:W→Z between simply connected CW-complexes of finite ty...
AbstractIn this paper we make explicit the relationship between the category of a connected CW compl...
AbstractIf F→E→B is a fibration, a classical result of Varadarajan asserts that catE⩽catF+catB(catF+...
AbstractThe thesis lays foundations for a topological, homotopical, and homological methodology in t...
AbstractWe prove that, for every decreasing sequence {ak} of natural numbers, there exists a map f:X...
Let M be a topological monoid with homotopy group completion ΩBM. Under a strong homotopy commutativ...
AbstractThere is a problem with the proof of Theorem 1.13 of Iwase and Sakai (2010) [2] which states...
AbstractA category is described whose objects are pairs in the sense of Eckmann and Hilton. The set ...
AbstractWe establish an explicit, algebraic, one-to-one correspondence between the ⁎-homomorphisms, ...
AbstractWe define the homotopy theory for topological semigroups and study some of its basic propert...
We construct an explicit semifree model for the fiber join of two fibrations p: E → B and p′: E′→ ...
AbstractIn this paper, we answer a question of Ganea proving that there exists a space X, without ho...
AbstractLet F→iE→pB be a fibration and let f: W→E be such that pf is homotopically trivial. Then p n...
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