On the minimal number of critical points of smooth maps between closed manifolds

New information concerning the minimal number of critical points of smooth proper mappings between closed connected surfaces (possibly with boundary) without critical points on the boundary is presented.     

On Smooth Maps with Finitely Many Critical Points: Addendum

The paper is an addendum to D. Andrica and L. Funar, ‘Onsmooth maps with finitely many critical points’, J. LondonMath. Soc. (2) 69 (2004) 783–800.     

On k-partitions of multisets with equal sums

The Ramanujan Journal - We study the number of ordered k-partitions of a multiset with equal sums, having elements $$\alpha _1,\ldots ,\alpha _n$$ and multiplicities $$m_1,\ldots ,m_n$$ . Denoting...     

On Smooth Maps with Finitely Many Critical Points

The minimum number of critical points of a small codimensionsmooth map between two manifolds is computed. Some partial resultsfor the case of higher codimension when the manifolds are spheresare also given.