### The invariance of domain theorem for condensing vector fields

#### Abstract

Using degree theory for countably condensing maps due

to Väth, we give an invariance of domain theorem

for countably condensing vector fields. The key tool

is Borsuk's theorem for odd countably condensing maps.

to Väth, we give an invariance of domain theorem

for countably condensing vector fields. The key tool

is Borsuk's theorem for odd countably condensing maps.

#### Keywords

Invariance of domain; countably condensing maps; vector fields; degree theory

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