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Homotopy dominations within polyhedra

Danuta Kołodziejczyk (2003)

Fundamenta Mathematicae

We show the existence of a finite polyhedron P dominating infinitely many different homotopy types of finite polyhedra and such that there is a bound on the lengths of all strictly descending sequences of homotopy types dominated by P. This answers a question of K. Borsuk (1979) dealing with shape-theoretic notions of "capacity" and "depth" of compact metric spaces. Moreover, π₁(P) may be any given non-abelian poly-ℤ-group and dim P may be any given integer n ≥ 3.

Homotopy Equivaleces of Almost Smooth Manifolds

G. Brumfiel (1971)

Commentarii mathematici Helvetici

Homotopy equivalence of isospectral graphs.

Bisson, Terrence, Tsemo, Aristide (2011)

The New York Journal of Mathematics [electronic only]

Homotopy equivalences and mapping torus projections

D. Coram, P. Duvall (1980)

Fundamenta Mathematicae

Homotopy equivalent group representations and Picard groups of the burnside ring and the character ring.

Tammo Tom Dieck (1978/1979)

Manuscripta mathematica

Homotopy for small multifunctions

Helga Schirmer (1973)

Fundamenta Mathematicae

Homotopy groups of arc complements in $S^{n}$ or Q

S. Singh (1988)

Colloquium Mathematicae

Homotopy Groups of H-Spaces I

John R. Harper (1972)

Commentarii mathematici Helvetici

Homotopy groups of small categories and derived functors

Marek Golasiński (1987)

Cahiers de Topologie et Géométrie Différentielle Catégoriques

Homotopy Inverses for Nerve.

Rudolf Fritsch, Dana May Latch (1981)

Mathematische Zeitschrift

Homotopy Lie algebra of classifying spaces for hyperbolic coformal 2-cones.

Gatsinzi, J.-B. (2004)

Homology, Homotopy and Applications

Homotopy Lie algebras and fundamental groups via deformation theory

Martin Markl, Stefan Papadima (1992)

Annales de l'institut Fourier

We formulate first results of our larger project based on first fixing some easily accessible invariants of topological spaces (typically the cup product structure in low dimensions) and then studying the variations of more complex invariants such as $π_{*} Ω S$ (the homotopy Lie algebra) or ${gr}^{*} π_{1} S$ (the graded Lie algebra associated to the lower central series of the fundamental group). We prove basic rigidity results and give also an application in low-dimensional topology.

Currently displaying 1201 – 1220 of 3052

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Displaying 1201 – 1220 of 3052

Homotopy dominations within polyhedra

Homotopy Equivaleces of Almost Smooth Manifolds

Homotopy equivalence of isospectral graphs.

Homotopy equivalences and mapping torus projections

Homotopy equivalent group representations and Picard groups of the burnside ring and the character ring.

Homotopy for small multifunctions

Homotopy groups of arc complements in $S^{n}$ or Q

Homotopy Groups of H-Spaces I

Homotopy groups of small categories and derived functors

Homotopy Inverses for Nerve.

Homotopy Lie algebra of classifying spaces for hyperbolic coformal 2-cones.

Homotopy Lie algebras and fundamental groups via deformation theory

Homotopy Lie algebras and Poincaré series of algebras with monomial relations.

Homotopy Lie algebras; lower central series and the Koszul property.

Homotopy Limits and Colimits.

Homotopy Linear Involutions on Spheres in the Unstable Range.

Homotopy negligible subsets of bundles

Homotopy Nilpotency and Localization.

Homotopy nilpotent Lie groups have no torsion in homology.

Homotopy operations and the obstructions to being an H-space.

Currently displaying 1201 – 1220 of 3052