pg_dump and public schema

Hi all. PostgresQL 12.1. Strange behaviour with pg_dump and absent public schema.

I droped public schema and I work under "username" schema.

=> \dn
List of schemas
 Name  | Owner
-------+-------
 olleg | olleg
(1 row)

Dump now

pg_dump -U postgres -C olleg >dump.sql

--
-- PostgreSQL database dump
--

-- Dumped from database version 12.1
-- Dumped by pg_dump version 12.1

SET statement_timeout = 0;
SET lock_timeout = 0;
SET idle_in_transaction_session_timeout = 0;
SET client_encoding = 'UTF8';
SET standard_conforming_strings = on;
SELECT pg_catalog.set_config('search_path', '', false);
SET check_function_bodies = false;
SET xmloption = content;
SET client_min_messages = warning;
SET row_security = off;

--
-- Name: olleg; Type: DATABASE; Schema: -; Owner: olleg
--

CREATE DATABASE olleg WITH TEMPLATE = template0 ENCODING = 'UTF8' LC_COLLATE = 'ru_RU.UTF-8' LC_CTYPE = 'ru_RU.UTF-8';


ALTER DATABASE olleg OWNER TO olleg;

\connect olleg

SET statement_timeout = 0;
SET lock_timeout = 0;
SET idle_in_transaction_session_timeout = 0;
SET client_encoding = 'UTF8';
SET standard_conforming_strings = on;
SELECT pg_catalog.set_config('search_path', '', false);
SET check_function_bodies = false;
SET xmloption = content;
SET client_min_messages = warning;
SET row_security = off;

--
-- Name: olleg; Type: SCHEMA; Schema: -; Owner: olleg
--

CREATE SCHEMA olleg;


ALTER SCHEMA olleg OWNER TO olleg;

--
-- PostgreSQL database dump complete
--

recreate DB from the dump:

psql postgres postgres -f dump.sql

And now I see public schema, which must be absent.

psql olleg olleg

=> \dn
  List of schemas
  Name  |  Owner
--------+----------
 olleg  | olleg
 public | postgres
(2 rows)