AbstractThis paper studies some properties which are preserved by refinable maps when the domain is a certain kind of generalized ANR called a quasi-ANR. Among those properties are the properties of being a quasi-ANR and the disjoint n-cell property.An alternative characterization of quasi-ANR's as surjective approximative neighborhood extensors is also obtained in Theorems 3 and 4. These characterizations are analogs of similar characterizations in ANR theory
summary:Continua that are approximative absolute neighborhood retracts (AANR’s) are characterized as...
Two new properties are proven to be equivalent to the definition of quasi-continuous function. One o...
A continuous mapping "f of an open set G C R " into R " is called K-quasiregular, K) ...
AbstractThis paper studies some properties which are preserved by refinable maps when the domain is ...
AbstractThe map F:X→Y is refinable if for each ε>0 there is an ε-map f from X onto Y that is ε-close...
In [15], Heath and Rogers defined a generalization of the notion of near-homeomorphisms c~ll~d refin...
AbstractIn this paper we study certain shape and homotopy properties of refinable and weakly refinab...
In recent years a number of generalizations of the notion of absolute neighborhood retract (ANR) hav...
All spaces mentioned in this article are metrizable. Suppose X is an ANR, let f: X + Y be a (proper ...
AbstractIn this paper we generalize the concept of absolute neighborhood retract by introducing the ...
ing generalization of absolute neighborhood retracts. Definition. A compact subset X of a metric spa...
In [1] J. Ford and J. W. Rogers defined a generalization of the notion of near homeomorphism called ...
The concept of quasifibration was invented by Dold and Thom (DT]. May (M2] approached quasifibration...
ABSTRACT. Using the notion of nearly extendable maps which has been introduced in [5], in connection...
This study was concerned with how much of the theory of absolute neighborhood retracts could be deve...
summary:Continua that are approximative absolute neighborhood retracts (AANR’s) are characterized as...
Two new properties are proven to be equivalent to the definition of quasi-continuous function. One o...
A continuous mapping "f of an open set G C R " into R " is called K-quasiregular, K) ...
AbstractThis paper studies some properties which are preserved by refinable maps when the domain is ...
AbstractThe map F:X→Y is refinable if for each ε>0 there is an ε-map f from X onto Y that is ε-close...
In [15], Heath and Rogers defined a generalization of the notion of near-homeomorphisms c~ll~d refin...
AbstractIn this paper we study certain shape and homotopy properties of refinable and weakly refinab...
In recent years a number of generalizations of the notion of absolute neighborhood retract (ANR) hav...
All spaces mentioned in this article are metrizable. Suppose X is an ANR, let f: X + Y be a (proper ...
AbstractIn this paper we generalize the concept of absolute neighborhood retract by introducing the ...
ing generalization of absolute neighborhood retracts. Definition. A compact subset X of a metric spa...
In [1] J. Ford and J. W. Rogers defined a generalization of the notion of near homeomorphism called ...
The concept of quasifibration was invented by Dold and Thom (DT]. May (M2] approached quasifibration...
ABSTRACT. Using the notion of nearly extendable maps which has been introduced in [5], in connection...
This study was concerned with how much of the theory of absolute neighborhood retracts could be deve...
summary:Continua that are approximative absolute neighborhood retracts (AANR’s) are characterized as...
Two new properties are proven to be equivalent to the definition of quasi-continuous function. One o...
A continuous mapping "f of an open set G C R " into R " is called K-quasiregular, K) ...
DOI
Add to ORKG