A hereditarily normal strongly zero-dimensional space with a subspace of positive dimension and an N-compact space of positive dimension
A local version of the generalized retract theorem of Ważewski with applications in the theory of partial differential equations of first order
A retractible non-locally connected dendroid
A retractible non-locally connected dendroid is constructed.
A theory of absolute proper retracts
AANR spaces and absolute retracts for tree-like continua
Continua that are approximative absolute neighborhood retracts (AANR’s) are characterized as absolute terminal retracts, i.e., retracts of continua in which they are embedded as terminal subcontinua. This implies that any AANR continuum has a dense arc component, and that any ANR continuum is an absolute terminal retract. It is proved that each absolute retract for any of the classes of: tree-like continua, -dendroids, dendroids, arc-like continua and arc-like -dendroids is an approximative absolute...
Absolute fixed point sets and AR-spaces
An embedding theorem of infinite-dimensional manifold pairs in the model space
Approximative retracts and fundamental retracts
Closed retractions of Euclidean spaces
Concerning the classification of topological spaces from the stand point of the theory of retracts
Concerning the set of retractions
Connectivity functions and retracts
Contractibility and a generalization of absolute extensor
Convexity structures in zero-dimensional compact spaces.
Corrections to: “Remarks on subsets of Cartesian products of metric spaces”
Dugundji extenders and retracts on generalized ordered spaces
For a subspace A of a space X, a linear extender φ:C(A) → C(X) is called an -extender (resp. -extender) if φ(f)[X] is included in the convex hull (resp. closed convex hull) of f[A] for each f ∈ C(A). Consider the following conditions (i)-(vii) for a closed subset A of a GO-space X: (i) A is a retract of X; (ii) A is a retract of the union of A and all clopen convex components of X; (iii) there is a continuous -extender φ:C(A × Y) → C(X × Y), with respect to both the compact-open topology and...
Dugundji spaces and topological groups
Errata to the paper "On some problem of Borsuk" Fundamenta Mathematicae 73 (1972), pp. 271-274
Fixed simplex property for retractable complexes.