EuDML | Browse

Let $L (X)$ be the space of all lower semi-continuous extended real-valued functions on a Hausdorff space $X$ , where, by identifying each $f$ with the epi-graph $epi (f)$ , $L (X)$ is regarded the subspace of the space ${Cld}_{F}^{*} (X \times ℝ)$ of all closed sets in $X \times ℝ$ with the Fell topology. Let $LSC (X) = {f \in L (X) ∣ f (X) \cap ℝ \neq \emptyset, f (X) \subset (- \infty, \infty]} and {LSC}_{B} (X) = {f \in L (X) ∣ f (X) is a bounded subset of ℝ} .$ We show that $L (X)$ is homeomorphic to the Hilbert cube $Q = {[- 1, 1]}^{ℕ}$ if and only if $X$ is second countable, locally compact and infinite. In this case, it is proved that $(L (X), LSC (X), {LSC}_{B} (X))$ is homeomorphic to $(Cone Q, Q \times (0, 1), Σ \times (0, 1))$ (resp. $(Q, s, Σ)$ ) if $X$ is compact (resp. $X$ is non-compact), where $Cone Q = (Q \times 𝐈) / (Q \times {1})$ is the cone over...

Topologically invariant σ-ideals on Euclidean spaces

T. Banakh, M. Morayne, R. Rałowski, Sz. Żeberski (2015)

Fundamenta Mathematicae

We study and classify topologically invariant σ-ideals with an analytic base on Euclidean spaces, and evaluate the cardinal characteristics of such ideals.

Topologie de Gromov équivariante, structures hyperboliques et arbres réels.

Frédéric Paulin (1988)

Inventiones mathematicae

Topology of vortices

C. von Westenholz (1978)

Annales de l'I.H.P. Physique théorique

Toroidal decompositions of $S^{3}$ and a family of 3-dimensional ANR’s (AR’s)

S. Singh (1981)

Fundamenta Mathematicae

Traces, lengths, axes and commensurability

Alan W. Reid (2014)

Annales de la faculté des sciences de Toulouse Mathématiques

The focus of this paper are questions related to how various geometric and analytical properties of hyperbolic 3-manifolds determine the commensurability class of such manifolds. The paper is for the large part a survey of recent work.

Transversality on manifolds with corners

Armas-Gómez, S., Margalef-Roig, J., Outerelo-Domínguez, E., Padrón-Fernández, E. (1993)

Proceedings of the Winter School "Geometry and Topology"

Transversality Theories at Dimension Four.

Martin G. Scharlemann (1976)

Inventiones mathematicae

Tranverse foliations of Seifert bundles and self homeomorphism of the circle.

U. Hirsch, D. Eisenbud, W. Neumann (1981)

Commentarii mathematici Helvetici

Travaux de Griffiths

Pierre Deligne (1969/1970)

Séminaire Bourbaki

Travaux de Thurston sur les difféomorphismes des surfaces et l'espace de Teichmüller

Valentin Poénaru (1978/1979)

Séminaire Bourbaki

Travaux de Thurston sur les groupes quasi-fuchsiens et les variétés hyperboliques de dimension $3$ fibrées sur $S^{1}$

Dennis Sullivan (1979/1980)

Séminaire Bourbaki

Trees of manifolds with boundary

Paweł Zawiślak (2015)

Colloquium Mathematicae

We introduce two new classes of compacta, called trees of manifolds with boundary and boundary trees of manifolds with boundary. We establish their basic properties.

Triangulations of 3-dimensional pseudomanifolds with an application to state-sum invariants.

Banagl, Markus, Friedman, Greg (2004)

Algebraic & Geometric Topology

Tritangent planes to toroidal knots.

A. Montesinos Amilibia (1991)

Revista Matemática de la Universidad Complutense de Madrid

A proof is given that, with the only exception of (3,2), all toroidal knots in R3 obtained in the standard way by stereographic projection of knots in S3 have tritangent planes.

Currently displaying 1101 – 1120 of 1237

Previous Page 56 Next