EUDML

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Maps into $ℝ P 2$ and applications

Zvengrowski, Peter — 1993

Proceedings of the Winter School "Geometry and Topology"

3-manifolds and relativistic kinks

Zvengrowski, Peter — 1993

Proceedings of the Winter School "Geometry and Physics"

Minicourse: An introduction to $ℓ 2$ -homology

Zvengrowski, Peter — 2006

Proceedings of the 25th Winter School "Geometry and Physics"

On sectioning tangent bundles and other vector bundles

Korbaš, Július; Zvengrowski, Peter — 1996

Proceedings of the Winter School "Geometry and Physics"

This paper has two parts. Part one is mainly intended as a general introduction to the problem of sectioning vector bundles (in particular tangent bundles of smooth manifolds) by everywhere linearly independent sections, giving a survey of some ideas, methods and results.Part two then records some recent progress in sectioning tangent bundles of several families of specific manifolds.

An application of principal bundles to coloring of graphs and hypergraphs

Milgram, James R.; Zvengrowski, Peter — 1994

Proceedings of the Winter School "Geometry and Physics"

An interesting connection between the chromatic number of a graph $G$ and the connectivity of an associated simplicial complex $N (G)$ , its “neighborhood complex”, was found by Lovász in 1978 (cf. [J. Comb. Theory, Ser. A 25, 319-324 (1978; Zbl 0418.05028)]). In 1986 a generalization to the chromatic number of a $k$ -uniform hypergraph $H$ , for $k$ an odd prime, using an associated simplicial complex $C (H)$ , was found ([, and , Trans. Am. Math. Soc. 298, 359-370 (1986; Zbl 0605.05033)], Prop. 2.1). It was already...

A 3-Fold Vector Product in R8.

Peter Zvengrowski

Commentarii mathematici Helvetici

Perfect transfinite numbers

Peter Zvengrowski — 1963

Fundamenta Mathematicae

The order of the Hopf bundle on projective Stiefel manifolds

Parameswaran Sankaran; Peter Zvengrowski — 1999

Fundamenta Mathematicae

On the non-invariance of span and immersion co-dimension for manifolds

Diarmuid J. Crowley; Peter D. Zvengrowski — 2008

Archivum Mathematicum

In this note we give examples in every dimension $m \geq 9$ of piecewise linearly homeomorphic, closed, connected, smooth $m$ -manifolds which admit two smoothness structures with differing spans, stable spans, and immersion co-dimensions. In dimension $15$ the examples include the total spaces of certain $7$ -sphere bundles over $S^{8}$ . The construction of such manifolds is based on the topological variance of the second Pontrjagin class: a fact which goes back to Milnor and which was used by Roitberg to give examples...