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We give conditions for a map of spaces to induce maps of the homology decompositions of the spaces which are compatible with the homology sections and dual Postnikov invariants. Several applications of this result are obtained. We show how the homotopy type of the (n+1)st homology section depends on the homotopy type of the nth homology section and the (n+1)st homology group. We prove that all homology sections of a co-H-space are co-H-spaces, all n-equivalences of the homology decomposition are...

Inequilogical spaces, directed homology and noncommutative geometry.

Grandis, Marco (2004)

Homology, Homotopy and Applications

Injective models of $G$ -disconnected simplicial sets

Marek Golasiński (1997)

Annales de l'institut Fourier

We generalize the results by G.V. Triantafillou and B. Fine on $G$ -disconnected simplicial sets. An existence of an injective minimal model for a complete $𝕀$ -algebra is presented, for any $E I$ -category $𝕀$ . We then make use of the $E I$ -category $𝒪 (G, X)$ associated with a $G$ -simplicial set $X$ to apply these results to the category of $G$ -simplicial sets.Finally, we describe the rational homotopy type of a nilpotent $G$ -simplicial set by means of its injective minimal model.

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$I$ -adic towers in topology.

Idempotent Topological Groupoids with Non-Empty Center.

Idempotente Multiplikationen.

Idempotents and Landweber exactness in brave new algebra.

Identitäten für Whitehead-Produkte höherer Ordnung.

Indecomposability of QX.

Independence complexes and edge covering complexes via Alexander duality.

Induced Functors on Categories of Algebras.

Induced mappings of homology decompositions

Inequilogical spaces, directed homology and noncommutative geometry.

Injective models of $G$ -disconnected simplicial sets

Intégrales itérées

Intersections of ANR's

Inverting weak dihomotopy equivalence using homotopy continuous flow.

Iterated Integrals and Homotopy Periods

Iterated Suspensions.

Iterating the bar construction.

Currently displaying 1 – 17 of 17