ON SMOOTH MAPS WITH FINITELY MANY CRITICAL POINTS Page 1 J. London Math. Soc.
(2) 69 (2004) 783–800 Cо2004 London Mathematical Society DOI: 10.1112/S0024610704005320 …

We deal with the minimum number of critical points of circular functions with respect to two
different classes of functions. The first one is the whole class of smooth circular functions …

In this paper we first study the topology of certain manifold complements. The obtained
results are then used to show that the φ-category (cf. Lusternik–Schnirelmann category) of …

In this paper we first observe that the complement of a countable closed subset of an $ n $-
dimensional manifold $ M $ has large $(n-1) $-homology group. In the last section we use …

In this paper we study the relation between the topology of the set R (f) of regular points and
the topology of its image f (R (f)), for some special maps f: M→ N acting between two …

The plane CS non-criticality of certain closed sets Page 1 Topology and its Applications 154
(2007) 367–373 www.elsevier.com/locate/topol The plane CS ∞ non-criticality of certain …

We prove that the vanishing sets of all top forms on a non-orientable manifold are at least 1-
dimensional in the general case and at most 1-codimensional in the compact case. We …

In the previous paper [11] some sufficient topological conditions, expressed in terms of
homotopy groups, of two given differentiable manifolds M, N in order that the ϕ-category of …

In this paper we provide some sufficient conditions on two manifolds which ensure
uncountable critical sets for all smooth maps between the two manifolds. These sufficient …

We provide necessary conditions on a given map, between two compact differential
manifolds, for its critical set to be finite. As consequences of these conditions we also …