Symmetric products of surfaces; a unifying theme for topology and physics

P Blagojevic, V Grujic, R Zivaljevic - arXiv preprint math/0408417, 2004 - arxiv.org
This is a review paper about symmetric products of spaces $ SP^ n (X):= X^ n/S_n $. We
focus our attention on the symmetric products of 2-manifolds and make a journey through …

Reductions for vector (n,m)-presentations of (n,m)-semigroups

D Dimovski, I Stojmenovska - Semigroup Forum, 2013 - Springer
We investigate questions from the combinatorial theory of (n, m)-semigroups and construct
reductions for a special class of (n, m)-presentations of (n, m)-semigroups, called vector (n …

Symmetric products of surfaces and the cycle index

P Blagojević, V Grujić, R Živaljević - Israel Journal of Mathematics, 2003 - Springer
We study some of the combinatorial structures related to the signature of G-symmetric
products of (open) surfaces SP G m (M)= M m/G where G⊂ S m. The attention is focused on …

Arrangements of symmetric products of spaces

P Blagojević, V Grujić, R Živaljević - Topology and its Applications, 2005 - Elsevier
We study the combinatorics and topology of general arrangements of sub-spaces of the form
D+ SPn− d (X) in symmetric products SPn (X) where D∈ SPd (X). Symmetric products SPm …

On Homeomorphism Type of Symmetric Products of Compact Riemann Surfaces with Punctures

DV Gugnin - arXiv preprint arXiv:1606.00453, 2016 - arxiv.org
Let $ M^ 2_ {g, k} $ and $ M^ 2_ {g', k'} $ be compact Riemann surfaces with punctures ($ g,
g'\ge 0$-genuses, $ k, k'\ge 1$-number of punctures). For any Hausdorff space $ X $ the …

Целочисленное кольцо когомологий симметрических степеней CW-комплексов и топология симметрических степеней римановых поверхностей

ДВ Гугнин - Труды Математического института имени ВА …, 2024 - mathnet.ru
Мы показываем, что целочисленное кольцо когомологий фактор по кручению $
H^*(\mathrm {Sym}^ n X;\mathbb {Z})/\mathrm {Tor} $ симметрических степеней связных …

[PDF][PDF] The Euler characteristic of the symmetric product of a finite CW-complex

K Trenčevski - Mathematical Communications, 2010 - hrcak.srce.hr
In this paper it is first shown that if M is a 2-dimensional surface, then M (m) is orientable if
and only if M is orientable. Using the Macdonald's result [5] the Betti numbers of M (m) are …

[PDF][PDF] Bibliografija

N Rau - Revija za sociologiju, 1972 - hrcak.srce.hr
London, Collier-Macmillan, str. 450. 10. WILLIAMS, OP: Metropolitan po litical analysis: A
social access approach. London, Collier-Macmillan, str. 128. 11. Amenagement d'une …

[PDF][PDF] Canonical forms of matrices determining analytical manifolds

K Trencevski, S Kera - International Electronic Journal of Geometry, 2008 - dergipark.org.tr
In this paper many classes of sets of matrices with entries in F (F∈{R, C, H}) are introduced.
Each class with the corresponding topology determines real analytical, complex or …

[引用][C] ON ONE CONJECTURE CONCERNING SYMMETRIC PRODUCTS OF MANIFOLDS