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Your search keyword '"M. Blagojević"' showing total 13 results
Start Over Author "M. Blagojević" Publisher springer international publishing
13 results on '"M. Blagojević"'

3. Miscellaneous Calculations

Author

Pavle V. M. Blagojević, Frederick R. Cohen, Michael C. Crabb, Wolfgang Lück, and Günter M. Ziegler

Published
2021

6. Hu’ng’s Injectivity Theorem

Author

Pavle V. M. Blagojević, Frederick R. Cohen, Michael C. Crabb, Wolfgang Lück, and Günter M. Ziegler

Published
2021

8. Snapshots from the History

Author

Pavle V. M. Blagojević, Frederick R. Cohen, Michael C. Crabb, Wolfgang Lück, and Günter M. Ziegler

Published
2021

10. Operads

Author

Pavle V. M. Blagojević, Frederick R. Cohen, Michael C. Crabb, Wolfgang Lück, and Günter M. Ziegler

Published
2021

11. The Dickson Algebra

Author

Pavle V. M. Blagojević, Frederick R. Cohen, Michael C. Crabb, Wolfgang Lück, and Günter M. Ziegler

Published
2021

12. Beyond the Borsuk–Ulam Theorem: The Topological Tverberg Story

Author

Günter M. Ziegler and Pavle V. M. Blagojević

Subjects
Conjecture, Continuous map, Borsuk–Ulam theorem, 0102 computer and information sciences, 02 engineering and technology, Disjoint sets, 021001 nanoscience & nanotechnology, Topology, Mathematics::Algebraic Topology, 01 natural sciences, Prime (order theory), Combinatorics, 010201 computation theory & mathematics, Free group, Mathematics::Metric Geometry, Equivariant map, 0210 nano-technology, Mathematics
Abstract

Barany’s “topological Tverberg conjecture” from 1976 states that any continuous map of an N-simplex \(\Delta _{N}\) to \(\mathbb{R}^{d}\), for N ≥ (d + 1)(r − 1), maps points from r disjoint faces in \(\Delta _{N}\) to the same point in \(\mathbb{R}^{d}\). The proof of this result for the case when r is a prime, as well as some colored version of the same result, using the results of Borsuk–Ulam and Dold on the non-existence of equivariant maps between spaces with a free group action, were main topics of Matousek’s 2003 book “Using the Borsuk–Ulam theorem.”

Published
2017

13. On Highly Regular Embeddings

Author

Pavle V. M. Blagojević, Günter M. Ziegler, and Wolfgang Lück

Subjects
Combinatorics, Independent vector, Continuous map, Euclidean geometry, Vector bundle, Pairwise comparison, Linear independence, Algorithm, Upper and lower bounds, Moment curve, Mathematics
Abstract

A continuous map \(\mathbb{R}^{d} \rightarrow \mathbb{R}^{N}\) is k-regular if it maps any k pairwise distinct points to k linearly independent vectors. Our main result on k-regular maps is the following lower bound for the existence of such maps between Euclidean spaces, in which α(k) denotes the number of ones in the dyadic expansion of k

Published
2015

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