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Displaying 1061 – 1080 of 1237

The Relationship between Homology and Topological Manifolds via Homology Transversaltiy

D.E. Galewski, R.J. Stern (1977)

Inventiones mathematicae

The relative coincidence Nielsen number

Jerzy Jezierski (1996)

Fundamenta Mathematicae

We define a relative coincidence Nielsen number $N_{r e l} (f, g)$ for pairs of maps between manifolds, prove a Wecken type theorem for this invariant and give some formulae expressing $N_{r e l} (f, g)$ by the ordinary Nielsen numbers.

The Second Homology Group of the Mapping Class Group of an Orientable Surface.

John Harer (1983)

Inventiones mathematicae

The Seiberg-Witten invariants and 4-manifolds with essential tori.

Taubes, Clifford Henry (2001)

Geometry & Topology

The Seiberg-Witten invariants of symplectic four-manifolds

Dieter Kotschick (1995/1996)

Séminaire Bourbaki

The shape genus of a shape map

Zvonko Čerin (1984)

Colloquium Mathematicae

The slicing number of a knot.

Livingston, Charles (2002)

Algebraic & Geometric Topology

The smallest arithmetic hyperbolic three-orbi-fold.

E. Friedman, T. Chinburg (1986)

Inventiones mathematicae

The Smith Conjecture in dimension four and equivariant gauge theory.

Peter J. Braam, Gordana Matic (1993)

Forum mathematicum

The space of Lipschitz maps from a compactum to an absolute neighborhood LIP extensor

Katsuro Sakai (1991)

Fundamenta Mathematicae

The Spaces of Closed Convex Sets in Euclidean Spaces with the Fell Topology

Katsuro Sakai, Zhongqiang Yang (2007)

Bulletin of the Polish Academy of Sciences. Mathematics

Let $C o n v_{F} (ℝ ⁿ)$ be the space of all non-empty closed convex sets in Euclidean space ℝ ⁿ endowed with the Fell topology. We prove that $C o n v_{F} (ℝ ⁿ) \approx ℝ ⁿ \times Q$ for every n > 1 whereas $C o n v_{F} (ℝ) \approx ℝ \times$ .

The spin refinded Kauffman bracket skein module of S1 x S2 and lens spaces.

Gregor Masbaum (1996)

Manuscripta mathematica

The structure of pseudo-holomorphic subvarieties for a degenerate almost complex structure and symplectic form on $S^{1} \times B^{3}$ .

Taubes, Clifford Henry (1998)

Geometry & Topology

The Stucture of Semitopological Monoids on Compact Connected Manifolds.

Wolfgang Ruppert (1980)

Mathematische Zeitschrift

The Three Big Theorems of Papakyriakopoulos

V. Poenaru (1977)

Δελτίο της Ελληνικής Μαθηματικής Εταιρίας

The topology of deformation spaces of Kleinian groups.

Anderson, James W., Canary, Richard D., McCullough, Darryl (2000)

Annals of Mathematics. Second Series

The topology of the Banach–Mazur compactum

Sergey Antonyan (2000)

Fundamenta Mathematicae

Let J(n) be the hyperspace of all centrally symmetric compact convex bodies $A \subseteq ℝ^{n}$ , n ≥ 2, for which the ordinary Euclidean unit ball is the ellipsoid of maximal volume contained in A (the John ellipsoid). Let $J_{0} (n)$ be the complement of the unique O(n)-fixed point in J(n). We prove that: (1) the Banach-Mazur compactum BM(n) is homeomorphic to the orbit space J(n)/O(n) of the natural action of the orthogonal group O(n) on J(n); (2) J(n) is an O(n)-AR; (3) $J_{0} (2) / S O (2)$ is an Eilenberg-MacLane space $𝐊 (ℚ, 2)$ ; (4) $B M_{0} (2) = J_{0} (2) / O (2)$ is noncontractible;...

The twisted products of spheres that have the fixed point property

Haibao Duan, Boju Jiang (2003)

Fundamenta Mathematicae

By a twisted product of Sⁿ we mean a closed, 1-connected 2n-manifold M whose integral cohomology ring is isomorphic to that of Sⁿ × Sⁿ, n ≥ 3. We list all such spaces that have the fixed point property.

The virtual cohomological dimension of the mapping class group of an orientable surface.

J.L. Harer (1986)

Inventiones mathematicae

The virtual Haken conjecture: Experiments and examples.

Dunfield, Nathan M., Thurston, William P. (2003)

Geometry & Topology

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