We prove an extension of the well-known combinatorial-topological lemma of E. Sperner to the case of infinite-dimensional cubes. It is obtained as a corollary to an infinitary extension of the Lebesgue Covering Dimension Theorem
An example is presented to show that approximate versions of Fatou's Lemma in infinite dimension ca...
Abstract. We discuss Sperner’s Lemma in the form of two differ-ent proofs. Connections can be made t...
We prove the following conjecture of Atanassov (Studia Sci. Math. Hungar.32 (1996), 71–74). Let T be...
summary:We prove an extension of the well-known combinatorial-topological lemma of E. Sperner to the...
ABSTRACT. Employing recent results of M. Ali Khan we provide an infinite-dimensional version of the ...
The Sperner and Tucker lemmas are combinatorial analogous of the Brouwer and Borsuk- Ulam theorems w...
AbstractDuring the last 50 years several combinatorial theorems have been proved which have provided...
AbstractTucker's lemma is a combinatorial result which may be used to derive several theorems in top...
We consider a natural way of extending the Lebesgue covering dimension to various classes of infini...
AbstractWe consider a natural way of extending the Lebesgue covering dimension to various classes of...
We provide a novel proof of Sperner’s Lemma that is intuitive and elementary if certain simple prope...
An infinite-dimensional manifold is a topological manifold modeled on some infinite-dimensional homo...
We introduce and prove Sperner’s lemma, the well known combinatorial analogue of the Brouwer fixed p...
In this paper, we present a combinatorial theorem on a bounded polyhedron for an unrestricted intege...
AbstractA brief proof is given of a generalization of Sperner's lemma to certain finite partially or...
An example is presented to show that approximate versions of Fatou's Lemma in infinite dimension ca...
Abstract. We discuss Sperner’s Lemma in the form of two differ-ent proofs. Connections can be made t...
We prove the following conjecture of Atanassov (Studia Sci. Math. Hungar.32 (1996), 71–74). Let T be...
summary:We prove an extension of the well-known combinatorial-topological lemma of E. Sperner to the...
ABSTRACT. Employing recent results of M. Ali Khan we provide an infinite-dimensional version of the ...
The Sperner and Tucker lemmas are combinatorial analogous of the Brouwer and Borsuk- Ulam theorems w...
AbstractDuring the last 50 years several combinatorial theorems have been proved which have provided...
AbstractTucker's lemma is a combinatorial result which may be used to derive several theorems in top...
We consider a natural way of extending the Lebesgue covering dimension to various classes of infini...
AbstractWe consider a natural way of extending the Lebesgue covering dimension to various classes of...
We provide a novel proof of Sperner’s Lemma that is intuitive and elementary if certain simple prope...
An infinite-dimensional manifold is a topological manifold modeled on some infinite-dimensional homo...
We introduce and prove Sperner’s lemma, the well known combinatorial analogue of the Brouwer fixed p...
In this paper, we present a combinatorial theorem on a bounded polyhedron for an unrestricted intege...
AbstractA brief proof is given of a generalization of Sperner's lemma to certain finite partially or...
An example is presented to show that approximate versions of Fatou's Lemma in infinite dimension ca...
Abstract. We discuss Sperner’s Lemma in the form of two differ-ent proofs. Connections can be made t...
We prove the following conjecture of Atanassov (Studia Sci. Math. Hungar.32 (1996), 71–74). Let T be...
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