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