### A construction of noncontractible simply connected cell-like two-dimensional Peano continua

Using the topologist sine curve we present a new functorial construction of cone-like spaces, starting in the category of all path-connected topological spaces with a base point and continuous maps, and ending in the subcategory of all simply connected spaces. If one starts from a noncontractible n-dimensional Peano continuum for any n > 0, then our construction yields a simply connected noncontractible (n + 1)-dimensional cell-like Peano continuum. In particular, starting from the circle 𝕊¹,...

### A note on singularities in ANR's

### Completely regular mappings with compact ANR fiber

### Concerning locally homotopy negligible sets and characterization of ${l}_{2}$-manifolds

### Equiconnectivity and Cofibrations I.

### Fixed point index theory for a class of nonacyclic multivalued maps [Book]

### Fixed point sets of maps homotopic to a given map.

### Fixed point theorems of Rothe-type for Frum-Ketkov- and 1-set-contractions

### General position properties in fiberwise geometric topology [Book]

### Homological characterization of boundary set complements

### La théorie des rétracts approximatifs et le théorème des points fixes de Lefschetz [Book]

### Le théorème de Lefschetz pour les ANR approximatifs

### Les hyperespaces des rétractes absolus et des rétractes absolus de voisinage du plan

### Local cohomological properties of homogeneous ANR compacta

In accordance with the Bing-Borsuk conjecture, we show that if X is an n-dimensional homogeneous metric ANR continuum and x ∈ X, then there is a local basis at x consisting of connected open sets U such that the cohomological properties of Ū and bd U are similar to the properties of the closed ball ⁿ ⊂ ℝⁿ and its boundary ${}^{n-1}$. We also prove that a metric ANR compactum X of dimension n is dimensionally full-valued if and only if the group Hₙ(X,X∖x;ℤ) is not trivial for some x ∈ X. This implies that...

### Mappings with 1-dimensional absolute neighborhood retract fibers

### On a stability theorem for the fixed-point property

### On shape and fundamental deformation retracts

### On the disjoint (0,N)-cells property for homogeneous ANR's

A metric space (X,ϱ) satisfies the disjoint (0,n)-cells property provided for each point x ∈ X, any map f of the n-cell ${B}^{n}$ into X and for each ε > 0 there exist a point y ∈ X and a map $g:{B}^{n}\to X$ such that ϱ(x,y) < ε, $\widehat{\varrho}(f,g)<\epsilon $ and $y\notin g\left({B}^{n}\right)$. It is proved that each homogeneous locally compact ANR of dimension >2 has the disjoint (0,2)-cells property. If dimX = n > 0, X has the disjoint (0,n-1)-cells property and X is a locally compact $L{C}^{n-1}$-space then local homologies satisfy ${H}_{k}(X,X-x)=0$ for k < n and Hn(X,X-x) ≠ 0.

### On the Lefschetz fixed point theorem for multivalued weighted mappings